Sequences

• A094638 → θ+1 → basis A013609
  1 · 3, 4 · 13, 36, 24 · 70, 300, 420, 192 … Σ 1, 7, 73, 982, 16126, 312616, 6988024, …
  (−∞, 0]nonnegative
• basis-map coefficients of A026729 → basis A013610 → D+1
  1 · 4, 3 · 7, 24, 9 · 10, 63, 108, 27 … Σ 1, 7, 40, 208, 1024, 4864, 22528, …
  (−∞, 0]nonnegativerational roots
• A290596 → x ↦ x/(x+1)
  1 · 2, 3 · 10, 30, 21 · 80, 360, 504, 225 … Σ 1, 5, 61, 1169, 30361, 991901, …
  [−1, 0]nonnegative
• A131431 → Veronese 2 (j=1)
  4 · 0, 10 · 0, 0, 16 · 0, 0, 0, 22 … Σ 0, 4, 0, 10, 0, 16, 0, 22, …
  (−∞, 0]nonnegativerational roots
• A056939 → x ↦ x/(x+1)
  1 · 1, 2 · 1, 6, 6 · 1, 13, 33, 22 … Σ 1, 3, 13, 69, 417, 2763, 19609, 146793, …
  [−1, 0]nonnegative
• A178821 → Veronese 2 → θ+1
  1 · 5 · 15, 30 · 35, 210 … Σ 1, 5, 45, 245, 1120, 4536, 16800, …
  (−∞, 0]nonnegative
• A358735 → basis A007318 → D+1
  1 · 3, 1 · 15, 12, 2 · 93, 128, 52, 6 … Σ 1, 4, 29, 279, 3293, 45802, 731673, …
  (−∞, 0]nonnegative
• A167194 → basis A013610
  1 · 3, 3 · 4, 12, 9 · 4, 24, 45, 27 … Σ 1, 6, 25, 100, 400, 1600, 6400, 25600, …
  (−∞, 0]nonnegativerational roots
• A274498 → (θ+1)²
  1 · 3 · 3, 24 · 9, 72 … Σ 1, 3, 27, 81, 477, 1431, 7047, 21141, …
  (−∞, 0]nonnegative
• A113214 → basis A013610 → x ↦ x/(x+1)
  1 · 3, 6 · 4, 23, 28 · 7, 60, 162, 136 … Σ 1, 9, 55, 365, 2375, 15525, 101375, …
  [−1, 0]nonnegative
• basis-map coefficients of A112227 → basis A013611 → basis A008277
  25, 56, 16 · 125, 604, 432, 64 … Σ 97, 1225, 17665, 284873, 5059553, …
  (−∞, 0]nonnegative
• A290596: Triangle read by rows. A generalization of unsigned Lah numbers, called L[3,1].
  1 · 2, 1 · 10, 10, 1 · 80, 120, 24, 1 … Σ 1, 3, 21, 225, 3213, 57051, 1207953, …
  (−∞, 0)nonnegative
• A038321 → basis A013609 → θ+1
  324, 1008, 588 · 5832, 27216, 31752, 10976 … Σ 1920, 75776, 2883584, 106954752, …
  (−∞, 0]nonnegativerational roots
• A028338 → basis A013609 → D
  2 · 12, 8 · 88, 96, 24 · 800, 1120, 480, 64 … Σ 0, 2, 20, 208, 2464, 33408, 513792, …
  (−∞, 0]nonnegative
• A038338 → x ↦ x+1 → reverse
  144, 576, 576 · 1728, 10368, 20736, 13824 … Σ 1296, 46656, 1679616, 60466176, …
  (−∞, 0]nonnegativerational roots
• A121574 → reverse → D+1
  1 · 3, 2 · 6, 13, 4 · 9, 40, 40, 8 … Σ 1, 5, 23, 97, 390, 1518, 5773, 21575, …
  (−∞, 0]nonnegative
• A048993 → D+1 → reverse
  1 · 1, 1 · 1, 3, 1 · 1, 6, 7, 1 … Σ 1, 2, 5, 15, 52, 203, 877, 4140, …
  (−∞, 0]nonnegative
• A124932 → reverse → basis A008277
  1 · 5, 2 · 18, 18, 3 · 56, 106, 42, 4 … Σ 1, 7, 39, 208, 1125, 6309, 36995, …
  (−∞, 0]nonnegative
• A038208 → basis A013611 → basis A008277
  1 · 12, 8 · 144, 256, 64 · 1728, 6272, 3840, 512 … Σ 1, 20, 464, 12352, 370944, 12366848, …
  (−∞, 0]nonnegative
• A110608 → D
  8, 2 · 45, 36, 3 · 224, 336, 96, 4 … Σ 10, 84, 660, 5005, 37128, 271320, …
  (−∞, 0]nonnegative
• A207824 → x ↦ x+1 → basis A008277
  1 · 7, 1 · 48, 15, 1 · 329, 167, 24, 1 … Σ 1, 8, 64, 521, 4322, 36575, 316042, …
  (−∞, 0]nonnegative
• A143683 → γ → basis A007318
  1 · 1 · 9, 8 · 17, 16 … Σ 1, 1, 17, 33, 305, 833, 5713, 19041, …
  (−∞, −1]nonnegative
• A033282 → basis A013610 → D+1
  1 · 9, 6 · 56, 135, 45 · 324, 1413, 1701, 378 … Σ 1, 15, 236, 3816, 62819, 1047309, …
  (−∞, 0]nonnegative
• A038327 → basis A013611 → θ+1
  1 · 13, 8 · 169, 208, 48 · 2197, 4056, 1872, 256 … Σ 1, 21, 425, 8381, 162129, 3090277, …
  (−∞, 0]nonnegativerational roots
• A104684 → basis A013609 → x ↦ x+1
  1 · 5, 2 · 33, 24, 4 · 245, 258, 84, 8 … Σ 1, 7, 61, 595, 6145, 65527, 712909, …
  (−∞, −1]nonnegative
• A286724 → D
  1 · 8, 2 · 72, 36, 3 · 768, 576, 96, 4 … Σ 0, 1, 10, 111, 1444, 21805, 376206, …
  (−∞, 0]nonnegative
• A257621 → x ↦ x/(x+1)
  1 · 3, 6 · 9, 60, 60 · 27, 474, 1260, 840 … Σ 1, 9, 129, 2601, 67521, 2142729, …
  [−1, 0]nonnegative
• A143683 → θ+1
  1 · 1, 2 · 1, 20, 3 · 1, 38, 57, 4 … Σ 1, 3, 24, 100, 528, 2352, 11008, 48960, …
  (−∞, 0]nonnegative
• Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*11^j.
  144, 264, 121 · 1728, 4752, 4356, 1331 … Σ 529, 12167, 279841, 6436343, 148035889, …
  (−∞, −1]nonnegativerational roots
• A038321 → basis A013611 → θ+1
  324, 2016, 2352 · 5832, 54432, 127008, 87808 … Σ 4692, 275080, 15379088, 832806816, …
  (−∞, 0]nonnegativerational roots
• A099040 → Veronese 2
  1 · 0, 4 · 0, 8 · 0, 4, 16 … Σ 1, 0, 4, 8, 20, 64, 160, 448, …
  (−∞, 0]nonnegative
• A108426 → x ↦ x/(x+1)
  1 · 1, 2 · 3, 11, 10 · 12, 64, 113, 66 … Σ 1, 3, 24, 255, 3102, 40854, 566934, …
  [−1, 0]nonnegative
• A013622 → basis A007318 → D+1
  1 · 13, 5 · 144, 130, 25 · 1472, 2160, 975, 125 … Σ 1, 18, 299, 4732, 72501, 1085318, …
  (−∞, 0]nonnegativerational roots
• A122542 → basis A013609 → basis A008277
  1 · 3, 2 · 15, 20, 4 · 69, 166, 76, 8 … Σ 1, 5, 39, 319, 2849, 27501, 285255, …
  (−∞, 0]nonnegative
• A178820 → basis A008277
  1 · 8, 4 · 40, 50, 10 · 160, 380, 180, 20 … Σ 1, 12, 100, 740, 5285, 37744, 274092, …
  (−∞, 0]nonnegative
• A028262: Elements in 3-Pascal triangle (by row).
  1 · 1, 1 · 1, 3, 1 · 1, 4, 4, 1 … Σ 1, 2, 5, 10, 20, 40, 80, 160, …
  (−∞, 0)nonnegative
• A120909 → (θ+1)²
  3 · 3, 24 · 3, 48, 108 · 3, 72, 324, 384 … Σ 3, 27, 159, 783, 3483, 14499, 57591, …
  (−∞, 0]nonnegative
• A027466 → basis A013611 → basis A008277
  1 · 12, 4 · 144, 112, 16 · 1728, 2368, 768, 64 … Σ 1, 16, 272, 4928, 95232, 1960960, …
  (−∞, 0]nonnegative
• A030528 → basis A013611 → x ↦ x/(x+1)
  1 · 2, 6 · 3, 22, 35 · 5, 55, 191, 205 … Σ 1, 8, 60, 456, 3456, 26208, 198720, …
  [−1, 0]nonnegative
• A027465 → basis A008277 → (θ+1)²
  1 · 4, 4 · 16, 36, 9 · 64, 244, 135, 16 … Σ 1, 8, 61, 459, 3468, 26569, 207609, …
  (−∞, 0]nonnegative
• A013610 → Veronese 2 (j=1) → basis A013609
  3 · 6 · 36, 54 · 120, 216 … Σ 0, 3, 6, 90, 336, 3012, 14760, 107832, …
  (−∞, 0]nonnegative
• A132774 → reverse
  1 · 3, 2 · 5, 4 · 7, 6 … Σ 1, 5, 9, 13, 17, 21, 25, 29, …
  (−∞, 0]nonnegativerational roots
• A204420 → basis A013609 → basis A013609
  1 · 3, 4 · 45, 96, 48 · 1575, 4260, 3600, 960 … Σ 1, 7, 189, 10395, 945945, 127702575, …
  (−∞, 0]nonnegativerational roots
• A111049 → basis A008277
  1 · 2, 1 · 6, 9, 2 · 20, 61, 33, 4 … Σ 1, 3, 17, 118, 949, 8519, 83522, …
  (−∞, 0]nonnegative
• A116412 → basis A013610 → basis A013610
  1 · 7, 9 · 46, 126, 81 · 304, 1269, 1701, 729 … Σ 1, 16, 253, 4003, 63334, 1002049, …
  (−∞, 0]nonnegative
• A128813 → basis A013609 → x ↦ x+1
  1 · 4, 2 · 40, 44, 12 · 760, 1316, 756, 144 … Σ 1, 6, 96, 2976, 151776, 11534976, …
  (−∞, −1]nonnegativerational roots
• A035342 → (θ+1)²
  1 · 3, 4 · 15, 36, 9 · 105, 348, 162, 16 … Σ 1, 7, 60, 631, 7915, 115536, 1924867, …
  (−∞, 0]nonnegative
• A001263 → basis A013611 → basis A013611
  1 · 6, 16 · 41, 208, 256 · 306, 2256, 5376, 4096 … Σ 1, 22, 505, 12034, 296122, 7486732, …
  (−∞, 0]nonnegative
• A201730 → basis A008277
  1 · 2 · 6, 1 · 20, 6 … Σ 1, 2, 7, 26, 98, 372, 1421, 5462, …
  (−∞, 0]nonnegative
• A099097 → reverse → (θ+1)²
  1 · 3 · 9, 4 · 27, 24 … Σ 1, 3, 13, 51, 198, 756, 2851, 10641, …
  (−∞, 0]nonnegative