veronese_section / r=2, j=0, shift 0

Veronese coefficient section. All operations

112 sequences

• A091042 → Veronese 2
  1 · 1 · 1, 5 · 1, 35 … row sums 1, 1, 6, 36, 136, 496, 2016, 8256, …
  (−∞, 0] nonnegative
• A344565 → Veronese 2
  3 · 15 · 45, 45 · 105, 315 … row sums 3, 15, 90, 420, 1680, 6048, 20160, …
  (−∞, 0] nonnegative
• A010054 → reverse → Veronese 2
  1 · 0, 3 · 0, 0, 5 · 0, 0, 0, 7 … row sums 0, 1, 0, 3, 0, 5, 0, 7, …
  (−∞, 0] nonnegative rational roots
• A113413 → Veronese 2
  1 · 2 · 2, 1 · 2, 6 … row sums 1, 2, 3, 8, 21, 50, 119, 288, …
  (−∞, 0] nonnegative
• A023531: a(n) = 1 if n is of the form m(m+3)/2, otherwise 0.
  1 · 0, 1 · 0, 0, 1 · 0, 0, 0, 1 … row sums 1, 1, 1, 1, 1, 1, 1, 1, …
  A023531 [−1, 0] [0, ∞) nonnegative rational roots
• A133087 → Veronese 2
  1 · 2 · 1, 1 · 2, 4 … row sums 1, 2, 2, 6, 8, 24, 32, 96, …
  (−∞, 0] nonnegative
• A060920 → Veronese 2
  1 · 2 · 5, 1 · 13, 9 … row sums 1, 2, 6, 22, 86, 342, 1366, 5462, …
  (−∞, 0] nonnegative
• A128099 → Veronese 2
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 5, 13, 25, 41, …
  (−∞, 0] nonnegative
• A123519 → Veronese 2
  1, 4 · 1, 20 · 1, 60, 16 · 1, 140, 144 … row sums 5, 21, 77, 285, 1065, 3977, 14841, …
  (−∞, 0] nonnegative
• A272866 → Veronese 2
  1 · 1, 1 · 1, 11, 1 · 1, 30, 30, 1 … row sums 1, 2, 13, 62, 313, 1562, 7813, 39062, …
  (−∞, 0] nonnegative
• A120910 → Veronese 2
  3 · 6 · 12, 3 · 24, 18 … row sums 3, 6, 15, 42, 123, 366, 1095, 3282, …
  (−∞, 0] nonnegative
• A178820 → Veronese 2
  1 · 4 · 10, 10 · 20, 60 … row sums 1, 4, 20, 80, 280, 896, 2688, 7680, …
  (−∞, 0] nonnegative
• A059473 → Veronese 2
  1 · 2 · 4, 4 · 8, 32 … row sums 1, 2, 8, 40, 180, 792, 3520, 15680, …
  (−∞, 0] nonnegative
• A207823 → Veronese 2
  1 · 4 · 15, 1 · 56, 12 … row sums 1, 4, 16, 68, 303, 1392, 6513, 30796, …
  (−∞, 0] nonnegative
• A135838 → Veronese 2
  1 · 2 · 2, 2 · 4, 12 … row sums 1, 2, 4, 16, 32, 128, 256, 1024, …
  (−∞, 0] nonnegative
• A094638 → Veronese 2
  1 · 1 · 1, 2 · 1, 11 … row sums 1, 1, 3, 12, 60, 360, 2520, 20160, …
  (−∞, 0] nonnegative
• A086645 → Veronese 2
  1 · 1 · 1, 1 · 1, 15 … row sums 1, 1, 2, 16, 72, 256, 992, 4096, …
  (−∞, 0] nonnegative
• A052553 → Veronese 2
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 2, 4, 7, 11, …
  (−∞, 0] nonnegative
• A152842 → Veronese 2
  1 · 1 · 1, 3 · 1, 15 … row sums 1, 1, 4, 16, 32, 128, 256, 1024, …
  (−∞, 0] nonnegative
• A007318 → Veronese 2
  1 · 1 · 1, 1 · 1, 3 … row sums 1, 1, 2, 4, 8, 16, 32, 64, …
  (−∞, 0] nonnegative
• A143683 → Veronese 2
  1 · 1 · 1, 1 · 1, 19 … row sums 1, 1, 2, 20, 120, 336, 1120, 5440, …
  (−∞, 0] nonnegative
• A172431 → Veronese 2
  1 · 1 · 1, 3 · 1, 10 … row sums 1, 1, 4, 11, 27, 72, 189, 493, …
  (−∞, 0] nonnegative
• A207606 → Veronese 2
  4, 2 · 5, 11 · 6, 36, 2 · 7, 91, 19 … row sums 6, 16, 44, 117, 306, 799, 2090, 5472, …
  (−∞, 0] nonnegative
• A169803 → Veronese 2
  1 · 1 · 1 · 1, 1 … row sums 1, 1, 1, 2, 4, 7, 11, 17, …
  (−∞, 0] nonnegative
• A064861 → Veronese 2
  1, 2 · 1, 8 · 1, 13, 4 · 1, 25, 28 … row sums 3, 9, 18, 54, 108, 324, 648, 1944, …
  (−∞, 0] nonnegative
• A034870 → Veronese 2
  1 · 1, 1 · 1, 6, 1 · 1, 15, 15, 1 … row sums 1, 2, 8, 32, 128, 512, 2048, 8192, …
  (−∞, 0] nonnegative
• A103633 → Veronese 2
  1 · 0, 1 · 0, 1 · 0, 1, 1 … row sums 1, 0, 1, 1, 2, 2, 4, 4, …
  (−∞, 0] nonnegative
• A063967 → Veronese 2
  1 · 1 · 2, 1 · 3, 5 … row sums 1, 1, 3, 8, 22, 60, 164, 448, …
  (−∞, 0] nonnegative
• A137320 → Veronese 2
  1 · 0, 4 · 0, 12 · 0, 44, 16 … row sums 1, 0, 4, 12, 60, 360, 2520, 20160, …
  (−∞, 0] nonnegative
• A103327 → Veronese 2
  1 · 3 · 5, 1 · 7, 21 … row sums 1, 3, 6, 28, 136, 528, 2016, 8128, …
  (−∞, 0] nonnegative
• A035607 → Veronese 2
  1 · 1 · 1 · 1, 2 … row sums 1, 1, 1, 3, 9, 21, 49, 119, …
  (−∞, 0] nonnegative
• A011973 → x ↦ x−1/4 → Veronese 2
  1 · 2 · 3 · 4 … row sums 1, 2, 3, 4, 21, 102, 343, 904, …
  (−∞, 0] nonnegative
• A038207 → Veronese 2
  1 · 2 · 4, 1 · 8, 6 … row sums 1, 2, 5, 14, 41, 122, 365, 1094, …
  (−∞, 0] nonnegative
• A023531 → 2D+1+2n → Veronese 2
  1 · 2 · 0, 5 · 0, 6 … row sums 1, 2, 5, 6, 9, 10, 13, 14, …
  (−∞, 0] nonnegative rational roots
• A136572 → Veronese 2
  1 · 0, 2 · 0, 0, 24 · 0, 0, 0, 720 … row sums 1, 0, 2, 0, 24, 0, 720, 0, …
  (−∞, 0] nonnegative rational roots
• A085478 → Veronese 2
  1 · 1 · 1 · 1, 1 … row sums 1, 1, 1, 2, 6, 17, 45, 117, …
  (−∞, 0] nonnegative
• A110441 → Veronese 2
  1 · 3 · 7, 1 · 15, 9 … row sums 1, 3, 8, 24, 80, 276, 952, 3264, …
  (−∞, 0] nonnegative
• A116412 → Veronese 2
  1 · 3 · 6, 1 · 12, 9 … row sums 1, 3, 7, 21, 70, 234, 775, 2559, …
  (−∞, 0] nonnegative
• A054142 → Veronese 2
  1 · 1 · 1, 1 · 1, 6 … row sums 1, 1, 2, 7, 17, 44, 117, 305, …
  (−∞, 0] nonnegative
• A249250 → Veronese 2
  1 · 1 · 1, 3 · 1, 15 … row sums 1, 1, 4, 16, 40, 100, 280, 784, …
  (−∞, 0] nonnegative
• A152198 → Veronese 2
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 2, 2, 4, 4, …
  (−∞, 0] nonnegative
• A391533 → Veronese 2
  4, 1 · 4, 5 · 4, 13, 1 · 4, 25, 7 … row sums 5, 9, 18, 36, 72, 144, 288, 576, …
  (−∞, 0] nonnegative
• A081581 → Veronese 2
  1 · 1 · 1, 1 · 1, 15 … row sums 1, 1, 2, 16, 80, 220, 704, 2944, …
  (−∞, 0] nonnegative
• A094816 → Veronese 2
  1 · 1 · 1, 1 · 1, 6 … row sums 1, 1, 2, 7, 31, 161, 976, 6847, …
  (−∞, 0] nonnegative
• A249252 → Veronese 2
  1 · 1 · 1, 8 · 1, 32 … row sums 1, 1, 9, 33, 105, 385, 1385, 4897, …
  (−∞, 0] nonnegative
• basis-map coefficients of A113214, shifted → Veronese 2
  1 · -1 · 1, 1 · -1, -3 … row sums 1, -1, 2, -4, 8, -16, 32, -64, …
  (−∞, 0]
• A081579 → Veronese 2
  1 · 1 · 1, 1 · 1, 11 … row sums 1, 1, 2, 12, 48, 128, 384, 1344, …
  (−∞, 0] nonnegative
• A007318 → 2θ+1 → Veronese 2
  1 · 1 · 1, 5 · 1, 15 … row sums 1, 1, 6, 16, 40, 96, 224, 512, …
  (−∞, 0] nonnegative
• A007318 → θ+1+n → Veronese 2
  1 · 2 · 3, 5 · 4, 18 … row sums 1, 2, 8, 22, 56, 136, 320, 736, …
  (−∞, 0] nonnegative
• A274496 → Veronese 2
  1 · 2 · 2 · 4 … row sums 1, 2, 2, 4, 8, 16, 32, 64, …
  (−∞, 0] nonnegative