veronese_section

Veronese coefficient section. All operations

221 sequences

• A266213 → Veronese 2 (j=1)
  2 · 4 · 6, 2 · 8, 12 … row sums 0, 0, 2, 4, 8, 20, 50, 120, …
  (−∞, 0] nonnegative
• A038231 → Veronese 2 (j=1)
  1 · 8 · 48, 1 · 256, 16 … row sums 0, 1, 8, 49, 272, 1441, 7448, 37969, …
  (−∞, 0] nonnegative
• A159854 → Veronese 2
  0, 1 · 0, 1 · 0, 1, 1 · 0, 1, 3 … row sums 1, 1, 2, 4, 8, 16, 32, 64, …
  (−∞, 0] nonnegative
• A011973 → x ↦ x−1/4 → Veronese 2 (j=1)
  4 · 16 · 40 · 80 … row sums 0, 0, 4, 16, 40, 80, 204, 736, …
  (−∞, 0] nonnegative
• A130123 → Veronese 2
  1 · 0, 4 · 0, 0, 16 · 0, 0, 0, 64 … row sums 1, 0, 4, 0, 16, 0, 64, 0, …
  (−∞, 0] nonnegative rational roots
• A010054: a(n) = 1 if n is a triangular number, otherwise 0.
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 1, 1, 1, 1, …
  A010054 (−∞, −1] [−1, 0] [−3−2√2, −3+2√2] nonnegative rational roots
• A207606 → Veronese 2 (j=1)
  7 · 16, 2 · 30, 15 · 50, 64, 2 … row sums 7, 18, 45, 116, 304, 798, 2091, 5474, …
  (−∞, 0] nonnegative
• A091042 → Veronese 2 (j=1)
  3 · 10 · 21, 7 · 36, 84 … row sums 0, 3, 10, 28, 120, 528, 2080, 8128, …
  (−∞, 0] nonnegative
• A120909 → Veronese 2
  3 · 3 · 3, 12 · 3, 36 … row sums 3, 3, 15, 39, 123, 363, 1095, 3279, …
  (−∞, 0] nonnegative
• A091044 → Veronese 2 (j=1)
  2 · 10 · 28, 4 · 60, 60 … row sums 0, 2, 10, 32, 120, 512, 2080, 8192, …
  (−∞, 0] nonnegative
• A054142 → Veronese 2 (j=1)
  1 · 3 · 5, 1 · 7, 10 … row sums 0, 1, 3, 6, 17, 45, 116, 305, …
  (−∞, 0] nonnegative
• A111125 → Veronese 2 (j=1)
  1 · 5 · 14, 1 · 30, 9 … row sums 0, 1, 5, 15, 39, 100, 260, 681, …
  (−∞, 0] nonnegative
• basis-map coefficients of A021012 → Veronese 2 (j=1)
  -1 · 0, -6 · 0, 0, -120 · 0, 0, 0, -5040 … row sums 0, -1, 0, -6, 0, -120, 0, -5040, …
  (−∞, 0] rational roots
• delannoy → Veronese 2 (j=1)
  1 · 3 · 5, 1 · 7, 7 … row sums 0, 1, 3, 6, 14, 35, 85, 204, …
  (−∞, 0] nonnegative
• A152842 → Veronese 2 (j=1)
  3 · 4 · 7, 9 · 8, 24 … row sums 0, 3, 4, 16, 32, 128, 256, 1024, …
  (−∞, 0] nonnegative
• A011973 → x ↦ x+2 (shift +1) → Veronese 2 (j=1)
  1 · 2 · 7 · 16 … row sums 0, 1, 2, 7, 16, 42, 98, 237, …
  (−∞, 0] nonnegative
• A130534 → Veronese 2
  1 · 1 · 2, 1 · 6, 6 … row sums 1, 1, 3, 12, 60, 360, 2520, 20160, …
  (−∞, 0] nonnegative
• A099097 → Veronese 2
  1 · 0, 9 · 0, 6 · 0, 1, 81 … row sums 1, 0, 9, 6, 82, 108, 783, 1470, …
  (−∞, 0] nonnegative
• A113953 → Veronese 2
  1 · 0, 1 · 0, 4 · 0, 4, 1 … row sums 1, 0, 1, 4, 5, 8, 25, 44, …
  (−∞, 0] nonnegative
• A121574 → Veronese 2 (j=1)
  1 · 5 · 16, 1 · 44, 11 … row sums 0, 1, 5, 17, 55, 180, 594, 1963, …
  (−∞, 0] nonnegative
• A094638 → Veronese 2 (j=1)
  1 · 3 · 6, 6 · 10, 50 … row sums 0, 1, 3, 12, 60, 360, 2520, 20160, …
  (−∞, 0] nonnegative
• A038208 → Veronese 2 (j=1)
  2 · 8 · 24, 8 · 64, 64 … row sums 0, 2, 8, 32, 128, 512, 2048, 8192, …
  (−∞, 0] nonnegative
• A011973 → Veronese 2
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 2, 4, 7, 11, …
  (−∞, 0] nonnegative
• A232535 → Veronese 2
  1 · 1 · 1, 3 · 1, 25 … row sums 1, 1, 4, 26, 104, 376, 1504, 6176, …
  (−∞, 0] nonnegative
• A008288 → Veronese 2
  1 · 1 · 1, 1 · 1, 5 … row sums 1, 1, 2, 6, 15, 35, 84, 204, …
  (−∞, 0] nonnegative
• A121574 → Veronese 2
  1 · 2 · 4, 1 · 8, 8 … row sums 1, 2, 5, 16, 54, 180, 595, 1964, …
  (−∞, 0] nonnegative
• A082985 → Veronese 2
  1 · 1 · 1, 5 · 1, 14 … row sums 1, 1, 6, 15, 37, 100, 261, 681, …
  (−∞, 0] nonnegative
• A038207 → Veronese 2 (j=1)
  1 · 4 · 12, 1 · 32, 8 … row sums 0, 1, 4, 13, 40, 121, 364, 1093, …
  (−∞, 0] nonnegative
• A081577 → Veronese 2
  1 · 1 · 1, 1 · 1, 7 … row sums 1, 1, 2, 8, 24, 60, 160, 448, …
  (−∞, 0] nonnegative
• A113214 → Veronese 2
  1 · 2 · 0, 1 · 0, 4 … row sums 1, 2, 1, 4, 6, 8, 15, 24, …
  (−∞, 0] nonnegative
• A249251 → Veronese 2 (j=1)
  3 · 6 · 9, 12 · 12, 60 … row sums 0, 3, 6, 21, 72, 234, 774, 2559, …
  (−∞, 0] nonnegative
• A110441 → Veronese 2 (j=1)
  1 · 6 · 23, 1 · 72, 12 … row sums 0, 1, 6, 24, 84, 284, 960, 3264, …
  (−∞, 0] nonnegative
• A081578 → Veronese 2 (j=1)
  1 · 5 · 9, 1 · 13, 13 … row sums 0, 1, 5, 10, 26, 91, 287, 820, …
  (−∞, 0] nonnegative
• A078812 → Veronese 2 (j=1)
  1 · 4 · 10, 1 · 20, 8 … row sums 0, 1, 4, 11, 28, 72, 188, 493, …
  (−∞, 0] nonnegative
• A059473 → Veronese 2 (j=1)
  2 · 10 · 32, 8 · 88, 88 … row sums 0, 2, 10, 40, 176, 792, 3528, 15680, …
  (−∞, 0] nonnegative
• A078812 → Veronese 2
  1 · 2 · 3, 1 · 4, 6 … row sums 1, 2, 4, 10, 27, 72, 189, 494, …
  (−∞, 0] nonnegative
• A207823 → Veronese 2 (j=1)
  1 · 8 · 46, 1 · 232, 16 … row sums 0, 1, 8, 47, 248, 1248, 6136, 29809, …
  (−∞, 0] nonnegative
• A030528 → Veronese 2
  1 · 1 · 0, 1 · 0, 3 … row sums 1, 1, 1, 3, 4, 6, 11, 17, …
  (−∞, 0] nonnegative
• A102662 → Veronese 2
  1 · 1 · 1, 3 · 1, 11 … row sums 1, 1, 4, 12, 27, 63, 154, 374, …
  (−∞, 0] nonnegative
• A169803 → Veronese 2 (j=1)
  1 · 2 · 3 · 4 … row sums 0, 1, 2, 3, 4, 6, 10, 17, …
  (−∞, 0] nonnegative
• A344565 → Veronese 2 (j=1)
  15 · 90 · 315, 105 · 840, 840 … row sums 0, 15, 90, 420, 1680, 6048, 20160, …
  (−∞, 0] nonnegative
• A188440 → Veronese 2
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 5, 5, 13, 13, …
  (−∞, 0] nonnegative
• A026729 → Veronese 2
  1 · 0, 1 · 0, 2 · 0, 1, 1 … row sums 1, 0, 1, 2, 2, 4, 7, 10, …
  (−∞, 0] nonnegative
• A038220 → Veronese 2
  1 · 3 · 9, 4 · 27, 36 … row sums 1, 3, 13, 63, 313, 1563, 7813, 39063, …
  (−∞, 0] nonnegative
• basis-map coefficients of A026729 → basis A056242 → Veronese 2
  1 · 1 · 1, 4 · 1, 16 … row sums 1, 1, 5, 17, 58, 198, 676, 2308, …
  (−∞, 0] nonnegative
• A011973 → basis A007318 → Veronese 2
  1 · 1 · 2 · 3 … row sums 1, 1, 2, 3, 6, 11, 22, 43, …
  (−∞, 0] nonnegative
• 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, …
  (−∞, 0] nonnegative rational roots
• A198954: Expansion of the rotational partition function for a heteronuclear diatomic molecule.
  A010054 → D∘x
  1 · 3 · 5 · 7 … row sums 1, 3, 5, 7, 9, 11, 13, 15, …
  A198954 (−∞, −1] [−1, 0] nonnegative rational roots
• A081582 → Veronese 2 (j=1)
  1 · 9 · 17, 1 · 25, 25 … row sums 0, 1, 9, 18, 50, 275, 1243, 4068, …
  (−∞, 0] nonnegative
• A013610 → Veronese 2
  1 · 1 · 1, 9 · 1, 27 … row sums 1, 1, 10, 28, 136, 496, 2080, 8128, …
  (−∞, 0] nonnegative