veronese_section / r=2, j=1, shift 0
Veronese coefficient section. All operations
Parameters (2)
- all
- r=2, j=0, shift 0 118 proof steps, 112 sequences
- r=2, j=1, shift 0 115 proof steps, 110 sequences
110 sequences
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A136572 → Veronese 2 (j=1)
1 · 0, 6 · 0, 0, 120 · 0, 0, 0, 5040 … row sums 0, 1, 0, 6, 0, 120, 0, 5040, …
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A081582 → Veronese 2 (j=1)
1 · 9 · 17, 1 · 25, 25 … row sums 0, 1, 9, 18, 50, 275, 1243, 4068, …
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A274496 → Veronese 2 (j=1)
2 · 4 · 8 · 16 … row sums 0, 0, 2, 4, 8, 16, 32, 64, …
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A116414 → Veronese 2 (j=1)
1 · 8 · 42, 1 · 184, 16 … row sums 0, 1, 8, 43, 200, 880, 3800, 16333, …
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A232535 → Veronese 2 (j=1)
2 · 8 · 18, 4 · 32, 56 … row sums 0, 2, 8, 22, 88, 392, 1568, 6112, …
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A063967 → Veronese 2 (j=1)
1 · 3 · 7, 1 · 15, 7 … row sums 0, 1, 3, 8, 22, 60, 164, 448, …
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A391533 → Veronese 2 (j=1)
4 · 8, 1 · 12, 6 · 16, 19, 1 … row sums 4, 9, 18, 36, 72, 144, 288, 576, …
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A026729 → Veronese 2 (j=1)
1 · 1 · 0, 1 · 0, 3 … row sums 0, 1, 1, 1, 3, 4, 6, 11, …
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A249250 → Veronese 2 (j=1)
3 · 6 · 9, 3 · 12, 24 … row sums 0, 3, 6, 12, 36, 108, 288, 768, …
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A188440 → Veronese 2 (j=1)
2 · 2 · 4 · 4 … row sums 0, 0, 2, 2, 4, 4, 14, 14, …
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A133087 → Veronese 2 (j=1)
1 · 2 · 5, 1 · 4, 4 … row sums 0, 1, 2, 6, 8, 24, 32, 96, …
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A034870 → Veronese 2 (j=1)
2 · 4, 4 · 6, 20, 6 · 8, 56, 56, 8 … row sums 0, 2, 8, 32, 128, 512, 2048, 8192, …
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A143683 → Veronese 2 (j=1)
1 · 10 · 19, 1 · 28, 28 … row sums 0, 1, 10, 20, 56, 336, 1632, 5440, …
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A038220 → Veronese 2 (j=1)
2 · 12 · 54, 8 · 216, 96 … row sums 0, 2, 12, 62, 312, 1562, 7812, 39062, …
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A122542 → Veronese 2 (j=1)
1 · 2 · 2, 1 · 2, 6 … row sums 0, 1, 2, 3, 8, 21, 50, 119, …
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A099093 → Veronese 2 (j=1)
3 · 3 · 0, 27 · 0, 81 … row sums 0, 3, 3, 27, 81, 324, 1242, 4617, …
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A120909 → Veronese 2 (j=1)
6 · 12 · 18, 24 · 24, 96 … row sums 0, 6, 12, 42, 120, 366, 1092, 3282, …
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basis-map coefficients of A026729 → Veronese 2 (j=1)
1 · 0, 1 · 0, 0, 1 · 0, 0, 0, 1 … row sums 0, 1, 0, 1, 0, 1, 0, 1, …
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A030528 → Veronese 2 (j=1)
1 · 2 · 1, 1 · 0, 4 … row sums 0, 1, 2, 2, 4, 7, 10, 17, …
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A094816 → Veronese 2 (j=1)
1 · 3 · 8, 1 · 24, 10 … row sums 0, 1, 3, 9, 34, 165, 981, 6853, …
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A123519 → Veronese 2 (j=1)
6 · 12, 8 · 20, 56 · 30, 224, 32 … row sums 6, 20, 76, 286, 1066, 3976, 14840, …
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A103633 → Veronese 2 (j=1)
1 · 1 · 0, 1 · 0, 2 … row sums 0, 1, 1, 1, 2, 2, 4, 4, …
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A007318 → D+1 → Veronese 2 (j=1)
1 · 4 · 9, 1 · 16, 8 … row sums 0, 1, 4, 10, 24, 56, 128, 288, …
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A081581 → Veronese 2 (j=1)
1 · 8 · 15, 1 · 22, 22 … row sums 0, 1, 8, 16, 44, 220, 920, 2944, …
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A013611 → Veronese 2 (j=1)
4 · 8 · 12, 64 · 16, 256 … row sums 0, 4, 8, 76, 272, 1684, 7448, 40156, …
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basis-map coefficients of A026729 → basis A056242 → Veronese 2 (j=1)
2 · 5 · 9, 8 · 14, 44 … row sums 0, 2, 5, 17, 58, 198, 676, 2308, …
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A120910 → Veronese 2 (j=1)
3 · 12 · 36, 3 · 96, 24 … row sums 0, 3, 12, 39, 120, 363, 1092, 3279, …
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A274498 → Veronese 2 (j=1)
6 · 18 · 36 · 108 … row sums 0, 0, 6, 18, 36, 108, 378, 1134, …
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basis-map coefficients of A113214, shifted → Veronese 2 (j=1)
-1 · 2 · -3, -1 · 4, 4 … row sums 0, -1, 2, -4, 8, -16, 32, -64, …
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A122431 → Veronese 2 (j=1)
3, 1 · 1, 3 · 0, 3, 1 · 0, 1, 3 … row sums 4, 4, 4, 4, 4, 4, 4, 4, …
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A081577 → Veronese 2 (j=1)
1 · 4 · 7, 1 · 10, 10 … row sums 0, 1, 4, 8, 20, 60, 168, 448, …
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A027465 → Veronese 2 (j=1)
1 · 6 · 27, 1 · 108, 12 … row sums 0, 1, 6, 28, 120, 496, 2016, 8128, …
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A081579 → Veronese 2 (j=1)
1 · 6 · 11, 1 · 16, 16 … row sums 0, 1, 6, 12, 32, 128, 448, 1344, …
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A052553 → Veronese 2 (j=1)
1 · 2 · 3 · 4 … row sums 0, 0, 1, 2, 3, 4, 6, 10, …
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A099040 → Veronese 2 (j=1)
2 · 2 · 0, 8 · 0, 24 … row sums 0, 2, 2, 8, 24, 56, 168, 448, …
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A132393 → Veronese 2 (j=1)
1 · 1 · 2, 1 · 6, 6 … row sums 0, 1, 1, 3, 12, 60, 360, 2520, …
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basis-map coefficients of A030528, shifted → Veronese 2 (j=1)
-1 · 0, -1 · 0, 0, -1 · 0, 0, 0, -1 … row sums 0, -1, 0, -1, 0, -1, 0, -1, …
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A113413 → Veronese 2 (j=1)
1 · 4 · 8, 1 · 12, 8 … row sums 0, 1, 4, 9, 20, 49, 120, 289, …
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A028326 → Veronese 2 (j=1)
2 · 4 · 6, 2 · 8, 8 … row sums 0, 2, 4, 8, 16, 32, 64, 128, …
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A130123 → Veronese 2 (j=1)
2 · 0, 8 · 0, 0, 32 · 0, 0, 0, 128 … row sums 0, 2, 0, 8, 0, 32, 0, 128, …
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A249252 → Veronese 2 (j=1)
4 · 8 · 12, 16 · 16, 96 … row sums 0, 4, 8, 28, 112, 388, 1368, 4908, …
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A137320 → Veronese 2 (j=1)
2 · 2 · 4, 8 · 12, 48 … row sums 0, 2, 2, 12, 60, 360, 2520, 20160, …
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A143685 → Veronese 2 (j=1)
1 · 11 · 21, 1 · 31, 31 … row sums 0, 1, 11, 22, 62, 403, 2093, 7084, …
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A064861 → Veronese 2 (j=1)
3 · 5, 4 · 6, 12 · 8, 38, 8 … row sums 3, 9, 18, 54, 108, 324, 648, 1944, …
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A060920 → Veronese 2 (j=1)
1 · 5 · 20, 1 · 71, 14 … row sums 0, 1, 5, 21, 85, 341, 1365, 5461, …
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A304236 → Veronese 2 (j=1)
3 · 6 · 9 · 12 … row sums 0, 0, 3, 6, 9, 12, 42, 126, …
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A152198 → Veronese 2 (j=1)
1 · 1 · 2 · 2 … row sums 0, 0, 1, 1, 2, 2, 4, 4, …
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A081580 → Veronese 2 (j=1)
1 · 7 · 13, 1 · 19, 19 … row sums 0, 1, 7, 14, 38, 171, 657, 2044, …
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A125662 → Veronese 2 (j=1)
1 · 6 · 25, 1 · 90, 12 … row sums 0, 1, 6, 26, 102, 387, 1452, 5428, …
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A085478 → Veronese 2 (j=1)
1 · 3 · 6, 1 · 10, 7 … row sums 0, 0, 1, 3, 7, 17, 44, 116, …