Sequences

• A356546 → basis A013611 → D
  8 · 96, 192 · 960, 3840, 3840 … Σ 0, 8, 288, 8640, 241920, 6531840, …
  (−∞, 0]nonnegativerational roots
• A136521 → D
  2 · 0, 4 · 0, 0, 6 · 0, 0, 0, 8 … Σ 0, 2, 4, 6, 8, 10, 12, 14, …
  (−∞, 0]nonnegativerational roots
• A111125 → basis A013611 → basis A008277
  1 · 8, 4 · 55, 76, 16 · 377, 1052, 544, 64 … Σ 1, 12, 147, 2037, 31588, 541063, …
  (−∞, 0]nonnegative
• A196347 → x ↦ x+1 → basis A008277
  1 · 3, 1 · 18, 14, 2 · 162, 222, 72, 6 … Σ 1, 4, 34, 462, 8928, 229800, 7546320, …
  (−∞, 0]nonnegative
• A267006 → (θ+1)²
  1 · 0, 4, 9 · 0, 0, 0, 16, 25 · 0, 0, 0, 0, 0, 36, 49 … Σ 1, 13, 41, 85, 145, 221, 313, 421, …
  (−∞, 0]nonnegativerational roots
• A095660 → basis A013611
  3 · 4, 12 · 8, 40, 48 · 16, 112, 256, 192 … Σ 3, 16, 96, 576, 3456, 20736, 124416, …
  (−∞, 0]nonnegativerational roots
• A038326 → x ↦ x/(x+1)
  1 · 11, 23 · 121, 506, 529 · 1331, 8349, 17457, 12167 … Σ 1, 34, 1156, 39304, 1336336, 45435424, …
  [−1, 0]nonnegativerational roots
• A088996 → basis A013609 → x ↦ x/(x+1)
  1 · 1, 3 · 3, 16, 21 · 15, 113, 281, 231 … Σ 1, 4, 40, 640, 14080, 394240, 13404160, …
  [−1, 0]nonnegativerational roots
• A001263 → basis A013610 → basis A013610
  1 · 5, 9 · 29, 99, 81 · 185, 918, 1458, 729 … Σ 1, 14, 209, 3290, 54042, 918204, …
  (−∞, 0]nonnegative
• A207606 → x ↦ x+1 → basis A008277
  26, 17, 2 · 97, 109, 29, 2 · 362, 625, 281, 43, 2 … Σ 45, 237, 1313, 7652, 46875, 301411, …
  (−∞, 0]nonnegative
• A062145 → θ+1
  1 · 1, 8 · 1, 20, 30 · 1, 36, 135, 80 … Σ 1, 9, 51, 252, 1170, 5247, 23023, …
  (−∞, 0]nonnegative
• A274496 → basis A013611 → D
  8 · 16 · 64, 128 · 128, 256 … Σ 0, 0, 8, 16, 192, 384, 3456, 6912, …
  (−∞, 0]nonnegativerational roots
• A132774 → reverse → x ↦ x+1
  1 · 5, 2 · 9, 4 · 13, 6 … Σ 1, 7, 13, 19, 25, 31, 37, 43, …
  (−∞, −1]nonnegativerational roots
• A026729 → basis A013611 → reverse
  1 · 4, 1 · 16, 12, 2 · 64, 80, 28, 3 … Σ 1, 5, 30, 175, 1025, 6000, 35125, …
  (−∞, 0]nonnegative
• A100861 → basis A013610 → θ+1
  1 · 1 · 2, 6 · 4, 18 … Σ 1, 1, 8, 22, 163, 671, 5026, 26188, …
  (−∞, 0]nonnegative
• A063967 → reverse
  1 · 1, 1 · 1, 3, 2 · 1, 5, 7, 3 … Σ 1, 2, 6, 16, 44, 120, 328, 896, …
  (−∞, 0]nonnegative
• A113214 → basis A013609
  1 · 3, 2 · 4, 10, 4 · 7, 26, 28, 8 … Σ 1, 5, 18, 69, 261, 990, 3753, 14229, …
  (−∞, 0]nonnegative
• A122542 → basis A013611 → basis A013609
  1 · 5, 8 · 35, 96, 64 · 235, 936, 1216, 512 … Σ 1, 13, 195, 2899, 43121, 641381, …
  (−∞, 0]nonnegative
• A008292 → γ (scale 1/4) (shift +1) → x ↦ x+1
  1 · 2 · 6, 2 · 24, 16 … Σ 1, 2, 8, 40, 256, 1952, 17408, 177280, …
  (−∞, −1]nonnegative
• A114656 → basis A013609 → x ↦ x+1
  1 · 5, 2 · 31, 24, 4 · 215, 246, 84, 8 … Σ 1, 7, 59, 553, 5541, 58107, 629799, …
  (−∞, −1]nonnegative
• A093375 → D → basis A008277
  1 · 6, 2 · 24, 21, 3 · 80, 136, 48, 4 … Σ 0, 1, 8, 48, 268, 1495, 8574, 51149, …
  (−∞, 0]nonnegative
• A122542 → D → x ↦ x+1
  1 · 4, 2 · 13, 14, 3 · 40, 64, 30, 4 … Σ 0, 1, 6, 30, 138, 602, 2538, 10442, …
  (−∞, −1]nonnegative
• basis-map coefficients of A112227 → (θ+1)² → basis A007318
  9, 18, 9 · 16, 48, 48, 16 · 25, 100, 150, 100, 25 … Σ 36, 128, 400, 1152, 3136, 8192, 20736, …
  (−∞, −1]nonnegativerational roots
• A132393 → basis A013609
  1 · 1, 2 · 2, 6, 4 · 6, 22, 24, 8 … Σ 1, 3, 12, 60, 360, 2520, 20160, 181440, …
  (−∞, 0]nonnegativerational roots
• A088729 → x ↦ x/(x+1)
  13, 35, 23 · 75, 304, 401, 173 … Σ 71, 953, 15897, 316543, 7318943, …
  [−1, 0]nonnegative
• A038330 → x ↦ x/(x+1)
  144, 384, 256 · 1728, 6912, 9216, 4096 … Σ 784, 21952, 614656, 17210368, …
  [−1, 0]nonnegativerational roots
• A113413 → basis A013611 → D
  4 · 24, 32 · 92, 288, 192 · 304, 1536, 2304, 1024 … Σ 0, 4, 56, 572, 5168, 43684, 354120, …
  (−∞, 0]nonnegative
• A039755 → D+1
  1 · 2, 1 · 5, 6, 1 · 14, 31, 12, 1 … Σ 1, 3, 12, 58, 324, 2044, 14320, 109960, …
  (−∞, 0]nonnegative
• A003506 → x ↦ x+1 → (θ+1)²
  1 · 4, 8 · 12, 48, 27 · 32, 192, 216, 64 … Σ 0, 1, 12, 87, 504, 2565, 11988, 52731, …
  (−∞, 0]nonnegative
• A086645 → basis A013611 → basis A013611
  1 · 6, 16 · 56, 256, 256 · 576, 3840, 7680, 4096 … Σ 1, 22, 568, 16192, 485248, 14874112, …
  (−∞, 0]nonnegative
• basis-map coefficients of A021012 → Veronese 2
  1 · 0, 2 · 0, 0, 24 · 0, 0, 0, 720 … Σ 1, 0, 2, 0, 24, 0, 720, 0, …
  (−∞, 0]nonnegativerational roots
• A225471 → basis A013609 → basis A008277
  1 · 6, 2 · 60, 36, 4 · 840, 696, 144, 8 … Σ 1, 8, 100, 1688, 35776, 911072, …
  (−∞, 0]nonnegative
• A136572 → basis A013610 → basis A007318
  1 · 4, 3 · 32, 48, 18 · 384, 864, 648, 162 … Σ 1, 7, 98, 2058, 57624, 2016840, …
  (−∞, −1]nonnegativerational roots
• A322944 → reverse
  1 · 1, 1 · 1, 6, 2 · 1, 15, 38, 6 … Σ 1, 2, 9, 60, 513, 5286, 63417, 865824, …
  (−∞, 0]nonnegative
• A133080 → D → D
  2 · 2, 6 · 0, 0, 12 · 0, 0, 12, 20 … Σ 0, 0, 2, 8, 12, 32, 30, 72, …
  (−∞, 0]nonnegativerational roots
• A232535 → basis A013610 → θ+1
  1 · 3, 12 · 12, 84, 81 · 48, 480, 999, 432 … Σ 1, 15, 177, 1959, 20913, 217743, …
  (−∞, 0]nonnegative
• delannoy → basis A013611 → (θ+1)²
  1 · 2, 16 · 5, 80, 144 · 12, 288, 1152, 1024 … Σ 1, 18, 229, 2476, 24381, 225654, …
  (−∞, 0]nonnegative
• A216973: Exponential Riordan array [x*exp(x),x].
  1 · 2, 2 · 3, 6, 3 · 4, 12, 12, 4 … Σ 0, 1, 4, 12, 32, 80, 192, 448, …
  (−∞, −1]nonnegativerational roots
• A172431 → Veronese 2 (j=1)
  2 · 4 · 6, 4 · 8, 20 … Σ 0, 2, 4, 10, 28, 72, 188, 494, …
  (−∞, 0]nonnegative
• A124860 → x ↦ x+1
  1 · 2, 1 · 12, 12, 3 · 40, 60, 30, 5 … Σ 1, 3, 27, 135, 891, 5103, 31347, …
  (−∞, −1]nonnegativerational roots
• A124860 → θ+1
  1 · 1, 2 · 3, 12, 9 · 5, 30, 45, 20 … Σ 1, 3, 24, 100, 528, 2352, 11008, 48960, …
  (−∞, 0]nonnegativerational roots
• image under θ+1 → θ+1 → D+1 → (θ+1)²
  1 · 4, 16 · 0, 72, 81 · 0, 0, 432, 256 … Σ 1, 20, 153, 688, 2225, 5796, 12985, …
  (−∞, 0]nonnegativerational roots
• A128813 → basis A008277
  1 · 2, 1 · 8, 13, 3 · 56, 217, 135, 18 … Σ 1, 3, 24, 426, 14356, 817201, 72259579, …
  (−∞, 0]nonnegative
• A113953 → basis A013611 → x ↦ x/(x+1)
  1 · 1, 5 · 3, 22, 35 · 5, 59, 215, 225 … Σ 1, 6, 60, 504, 4464, 38880, 340416, …
  [−1, 0]nonnegative
• A038320 → x ↦ x+1 → basis A013609
  529, 552, 144 · 12167, 19044, 9936, 1728 … Σ 1225, 42875, 1500625, 52521875, …
  (−∞, −1]nonnegativerational roots
• A106246 → basis A007318 → basis A013611
  1 · 4, 4 · 13, 32, 16 · 38, 156, 192, 64 … Σ 1, 8, 61, 450, 3240, 22896, 159408, …
  (−∞, 0]nonnegative
• A038220 → Veronese 2 (j=1) → (θ+1)²
  2 · 12 · 54, 32 · 216, 384 … Σ 0, 2, 12, 86, 600, 3978, 25380, 157406, …
  (−∞, 0]nonnegative
• A038255 → basis A013610 → basis A013611
  1 · 10, 12 · 100, 240, 144 · 1000, 3600, 4320, 1728 … Σ 1, 22, 484, 10648, 234256, 5153632, …
  (−∞, 0]nonnegativerational roots
• A152198 → Veronese 2 → x ↦ x+1
  1 · 1 · 1 · 1 … Σ 1, 1, 1, 1, 3, 3, 7, 7, …
  (−∞, −1]nonnegative
• A257610 → x ↦ x+1
  1 · 4, 2 · 28, 28, 4 · 280, 420, 156, 8 … Σ 1, 6, 60, 864, 16200, 373896, 10248120, …
  (−∞, −1]nonnegative