Sequences

• A013622 → basis A013610 → basis A013610
  1 · 23, 45 · 529, 2070, 2025 … Σ 1, 68, 4624, 314432, 21381376, …
  (−∞, 0]nonnegativerational roots
• A038208 → D
  2 · 8, 8 · 24, 48, 24 · 64, 192, 192, 64 … Σ 0, 2, 16, 96, 512, 2560, 12288, 57344, …
  (−∞, −1]nonnegativerational roots
• A038284 → basis A007318 → basis A013610
  400, 720, 324 · 8000, 21600, 19440, 5832 … Σ 1444, 54872, 2085136, 79235168, …
  (−∞, 0]nonnegativerational roots
• A084534: Triangle read by rows: T(n,0)=1, T(n,n)=2, T(n,m) = T(n-1,m-1) + Sum_{k=0..m} T(n-1-k,m-k).
  1 · 1, 2 · 1, 4, 2 · 1, 6, 9, 2 … Σ 1, 3, 7, 18, 47, 123, 322, 843, …
  (−∞, 0)nonnegative
• A122076 → basis A013611
  2 · 5, 8 · 17, 48, 32 · 65, 264, 336, 128 … Σ 2, 13, 97, 793, 6817, 60073, 535537, …
  (−∞, 0]nonnegative
• A132393 → Veronese 2
  1 · 0, 1 · 0, 3 · 0, 11, 1 … Σ 1, 0, 1, 3, 12, 60, 360, 2520, …
  (−∞, 0]nonnegative
• A286724: Triangle read by rows. A generalization of unsigned Lah numbers, called L[2,1].
  1 · 2, 1 · 8, 8, 1 · 48, 72, 18, 1 … Σ 1, 3, 17, 139, 1473, 19091, 291793, …
  (−∞, 0)nonnegative
• A144445 → x ↦ x/(x+1)
  1 · 1, 2 · 1, 25, 25 · 1, 209, 621, 414 … Σ 1, 3, 51, 1245, 42151, 1843581, …
  [−1, 0]nonnegative
• A123519 → reverse → D+1
  10, 8, 1 · 28, 44, 15, 1 · 72, 176, 120, 24, 1 … Σ 19, 88, 393, 1708, 7275, 30512, 126417, …
  (−∞, 0]nonnegative
• A142963 → x ↦ x/(x+1)
  1 · 1, 3 · 1, 12, 15 · 1, 33, 135, 111 … Σ 1, 4, 28, 280, 3616, 57184, 1069888, …
  [−1, 0]nonnegative
• basis-map coefficients of A127647 → basis A013610
  1 · 2, 3 · 8, 24, 18 · 24, 108, 162, 81 … Σ 1, 5, 50, 375, 3125, 25000, 203125, …
  (−∞, 0]nonnegativerational roots
• basis-map coefficients of A021012 → θ+1 → basis A013611
  1 · -2, -8 · 6, 48, 96 · -24, -288, -1152, -1536 … Σ 1, -10, 150, -3000, 75000, -2250000, …
  (−∞, 0]rational roots
• A013609 → Veronese 2 → θ+1
  1 · 1 · 1, 8 · 1, 24 … Σ 1, 1, 9, 25, 97, 321, 1097, 3641, …
  (−∞, 0]nonnegative
• A038291 → basis A013609 → D
  2 · 40, 8 · 600, 240, 24 · 8000, 4800, 960, 64 … Σ 0, 2, 48, 864, 13824, 207360, 2985984, …
  (−∞, 0]nonnegativerational roots
• A341287 → Pₙ + Pₙ₊₁
  1, 1 · -1, 2, 1 · -2, -1, 4, 1 · 1, -11, 4, 7, 1 … Σ 2, 2, 2, 2, 2, 2, 2, 2, …
  (−∞, ∞)
• A038329 → x ↦ x+1 → basis A013609
  324, 216, 36 · 5832, 5832, 1944, 216 … Σ 576, 13824, 331776, 7962624, 191102976, …
  (−∞, 0]nonnegativerational roots
• A082985 → reverse → D+1
  1 · 4, 1 · 10, 7, 1 · 21, 28, 10, 1 … Σ 1, 5, 18, 60, 191, 589, 1775, 5257, …
  (−∞, 0]nonnegative
• A038279 → basis A013609 → reverse
  1 · 2, 9 · 4, 36, 81 · 8, 108, 486, 729 … Σ 1, 11, 121, 1331, 14641, 161051, …
  (−∞, 0]nonnegativerational roots
• A304236 → (θ+1)²
  1 · 1 · 1, 12 · 1, 24 … Σ 1, 1, 13, 25, 118, 292, 979, 2611, …
  (−∞, 0]nonnegative
• A114687 → D
  2 · 6, 8 · 12, 48, 24 · 20, 160, 240, 64 … Σ 0, 2, 14, 84, 484, 2750, 15546, 87752, …
  (−∞, 0]nonnegative
• A356546 → x ↦ x+1 → reverse
  1 · 2, 4 · 6, 24, 24 · 20, 120, 240, 160 … Σ 1, 6, 54, 540, 5670, 61236, 673596, …
  (−∞, 0]nonnegativerational roots
• A038326 → basis A013609 → basis A013610
  1 · 47, 72 · 2209, 6768, 5184 … Σ 1, 119, 14161, 1685159, 200533921, …
  (−∞, 0]nonnegativerational roots
• A038327 → basis A013610 → D
  3 · 78, 18 · 1521, 702, 81 · 26364, 18252, 4212, 324 … Σ 0, 3, 96, 2304, 49152, 983040, …
  (−∞, 0]nonnegativerational roots
• A120910 → basis A013610 → basis A013611
  3 · 18, 36 · 108, 432, 432 · 648, 3888, 7776, 5184 … Σ 3, 54, 972, 17496, 314928, 5668704, …
  (−∞, 0]nonnegativerational roots
• A008292 → γ (scale 1/2) (shift +1) → (θ+1)²
  1 · 1 · 1, 4 · 1, 16 … Σ 1, 1, 5, 17, 81, 411, 2393, 15329, …
  (−∞, 0]nonnegative
• A038243 → basis A013611 → x ↦ x/(x+1)
  1 · 6, 10 · 36, 120, 100 · 216, 1080, 1800, 1000 … Σ 1, 16, 256, 4096, 65536, 1048576, …
  [−1, 0]nonnegativerational roots
• A286785 → D
  14, 4 · 72, 54, 6 · 330, 440, 132, 8 … Σ 18, 132, 910, 6120, 40698, 269192, …
  (−∞, 0]nonnegative
• A056939 → θ+1 → x ↦ x/(x+1)
  1 · 1, 3 · 1, 10, 12 · 1, 23, 73, 55 … Σ 1, 4, 23, 152, 1101, 8508, 69007, …
  [−1, 0]nonnegative
• A272867 → basis A013609 → x ↦ x/(x+1)
  1 · 6, 24, 22 · 36, 288, 840, 1056, 484 … Σ 1, 52, 2704, 140608, 7311616, …
  [−1, 0]nonnegative
• A114655 → x ↦ x+1
  2 · 6, 2 · 22, 16, 2 · 90, 102, 30, 2 … Σ 2, 8, 40, 224, 1344, 8448, 54912, …
  (−∞, −1]nonnegative
• basis-map coefficients of A371080, shifted → basis A013611 → basis A008277
  1 · 5, 4 · 40, 68, 16 · 440, 1180, 576, 64 … Σ 1, 9, 124, 2260, 50776, 1349144, …
  (−∞, 0]nonnegative
• A134239 → basis A013611
  1 · 6, 8 · 18, 60, 48 · 48, 256, 448, 256 … Σ 1, 14, 126, 1008, 7560, 54432, 381024, …
  (−∞, 0]nonnegativerational roots
• A078812 → basis A013610 → basis A013611
  1 · 6, 12 · 35, 144, 144 · 204, 1272, 2592, 1728 … Σ 1, 18, 323, 5796, 104005, 1866294, …
  (−∞, 0]nonnegative
• A274496 → basis A013610 → basis A013611
  1 · 2 · 10, 24 · 20, 48 … Σ 1, 2, 34, 68, 1156, 2312, 39304, 78608, …
  (−∞, 0]nonnegativerational roots
• A062264 → reverse → θ+1
  1 · 5, 2 · 15, 24, 3 · 35, 126, 63, 4 … Σ 1, 7, 42, 228, 1155, 5577, 26026, …
  (−∞, 0]nonnegative
• A133080 → θ+1 → D
  2 · 0, 6 · 0, 6, 12 · 0, 0, 0, 20 … Σ 0, 2, 6, 18, 20, 50, 42, 98, …
  (−∞, 0]nonnegativerational roots
• basis-map coefficients of A026729, shifted → (θ+1)² → basis A013609
  1 · -4, -8 · 9, 36, 36 · -16, -96, -192, -128 … Σ 1, -12, 81, -432, 2025, -8748, 35721, …
  (−∞, 0]rational roots
• A209414 → basis A008277
  1 · 2, 1 · 6, 7, 1 · 18, 41, 15, 1 … Σ 1, 3, 14, 75, 443, 2840, 19563, 143711, …
  (−∞, 0]nonnegative
• A102547 → x ↦ (1/27)x → basis A013609
  1 · 3 · 9 · 28, 2 … Σ 1, 3, 9, 30, 99, 324, 1062, 3483, …
  (−∞, 0]nonnegative
• A156992 → basis A013609 → θ+1
  1 · 4, 8 · 24, 96, 72 · 192, 1152, 1728, 768 … Σ 1, 12, 192, 3840, 92160, 2580480, …
  (−∞, 0]nonnegativerational roots
• A086645 → Veronese 2 → θ+1
  1 · 1 · 1, 2 · 1, 30 … Σ 1, 1, 3, 31, 144, 556, 2480, 11376, …
  (−∞, 0]nonnegative
• A013622 → x ↦ x/(x+1) → x ↦ x/(x+1)
  1 · 3, 11 · 9, 66, 121 · 27, 297, 1089, 1331 … Σ 1, 14, 196, 2744, 38416, 537824, …
  [−1, 0]nonnegativerational roots
• A039756 → reverse → θ+1
  1 · 1, 2 · 1, 8, 3 · 1, 26, 27, 4 … Σ 1, 3, 12, 58, 324, 2044, 14320, 109960, …
  (−∞, 0]nonnegative
• A143685 → basis A007318 → basis A008277
  1 · 3, 1 · 27, 16, 1 · 135, 145, 30, 1 … Σ 1, 4, 44, 311, 2802, 23956, 221099, …
  (−∞, 0]nonnegative
• A352880 → reverse → basis A013609
  8 · 30, 24 · 112, 192, 64 · 420, 1120, 840, 160 … Σ 8, 54, 368, 2540, 17712, 124502, …
  (−∞, 0]nonnegative
• A137320 → basis A013609 → basis A013611
  1 · 6, 16 · 42, 208, 256 · 336, 2336, 5376, 4096 … Σ 1, 22, 506, 12144, 303600, 7893600, …
  (−∞, 0]nonnegativerational roots
• Veronese parent of A098172 → basis A007318
  1, 2, 1 · 2, 9, 16, 14, 6, 1 … Σ 4, 48, 576, 6912, 82944, 995328, …
  (−∞, −1]nonnegativerational roots
• A081577 → basis A008277
  1 · 2, 1 · 6, 7, 1 · 16, 35, 13, 1 … Σ 1, 3, 14, 65, 333, 1826, 10701, 66579, …
  (−∞, 0]nonnegative
• A086645 → ⊙ C(n+1,k) (shift +2) → x ↦ x/(x+1)
  1, 14, 14 · 1, 48, 138, 92 · 1, 116, 762, 1292, 646 … Σ 29, 279, 2817, 29283, 309869, 3321447, …
  [−1, 0]nonnegative
• A008292 → γ (scale 1/4) → D
  2 · 16 · 88, 32 · 416, 544 … Σ 0, 0, 2, 16, 120, 960, 8400, 80640, …
  (−∞, 0]nonnegative