Sequences

• A094638 → D+1 → basis A013611
  1 · 3, 4 · 13, 44, 32 · 70, 416, 752, 384 … Σ 1, 7, 89, 1622, 38286, 1106316, …
  (−∞, 0]nonnegative
• A128099 → x ↦ x+1 → D
  2 · 4 · 14, 8 · 32, 24 … Σ 0, 0, 2, 4, 22, 56, 202, 556, …
  (−∞, −1]nonnegative
• A391533 → x ↦ x+1 → reverse
  1, 6, 9 · 1, 8, 21, 18 · 1, 10, 37, 60, 36 … Σ 16, 48, 144, 432, 1296, 3888, 11664, …
  (−∞, 0]nonnegativerational roots
• A193726 → basis A007318
  1 · 3, 2 · 21, 29, 10 · 147, 308, 215, 50 … Σ 1, 5, 60, 720, 8640, 103680, 1244160, …
  (−∞, 0]nonnegativerational roots
• A038303 → θ+1
  1 · 10, 2 · 100, 40, 3 · 1000, 600, 90, 4 … Σ 1, 12, 143, 1694, 19965, 234256, …
  (−∞, 0]nonnegativerational roots
• A331333 → x ↦ x+1
  1 · 3, 2 · 14, 16, 4 · 86, 132, 60, 8 … Σ 1, 5, 34, 286, 2840, 32344, 414160, …
  (−∞, −1]nonnegative
• A038226 → basis A013611 → D+1
  825, 2752, 1024 · 12947, 79200, 132096, 32768 … Σ 4601, 257011, 13595697, 694016603, …
  (−∞, 0]nonnegativerational roots
• basis-map coefficients of A026729, shifted → D+1
  1 · -1, -1 · 0, 2, 1 · 0, 0, -3, -1 … Σ 1, -2, 3, -4, 5, -6, 7, -8, …
  (−∞, 0]rational roots
• A026729 → basis A013609 → x ↦ x+1
  1 · 3, 2 · 12, 14, 4 · 45, 78, 44, 8 … Σ 1, 5, 30, 175, 1025, 6000, 35125, …
  (−∞, −1]nonnegative
• A207824 → basis A013610 → basis A013611
  1 · 9, 12 · 80, 216, 144 · 711, 2892, 3888, 1728 … Σ 1, 21, 440, 9219, 193159, 4047120, …
  (−∞, 0]nonnegative
• A038271 → basis A007318 → basis A008277
  1 · 17, 5 · 289, 195, 25 · 4913, 5735, 1650, 125 … Σ 1, 22, 509, 12423, 320356, 8730007, …
  (−∞, 0]nonnegative
• A008957 → θ+1
  1 · 1, 2 · 1, 10, 3 · 1, 28, 63, 4 … Σ 1, 3, 14, 96, 847, 9335, 125211, …
  (−∞, 0]nonnegative
• A169803 → basis A013611
  1 · 2, 4 · 3, 8 · 5, 20, 16 … Σ 1, 6, 11, 41, 96, 301, 781, 2286, …
  (−∞, 0]nonnegative
• A115951 → basis A013609
  1 · 2, 4 · 8, 28, 24 · 32, 168, 288, 160 … Σ 1, 6, 60, 648, 7344, 85536, 1014336, …
  (−∞, 0]nonnegative
• A038305 → x ↦ x+1 → x ↦ x/(x+1)
  169, 416, 256 · 2197, 8112, 9984, 4096 … Σ 841, 24389, 707281, 20511149, …
  [−1, 0]nonnegativerational roots
• A049403 → (θ+1)²
  0, 12, 9 · 0, 12, 54, 16 · 0, 0, 135, 160, 25 … Σ 21, 82, 320, 1266, 5110, 21176, 89892, …
  (−∞, 0]nonnegative
• A078812 → basis A013609 → D+1
  1 · 5, 2 · 20, 20, 4 · 71, 122, 60, 8 … Σ 1, 7, 44, 261, 1491, 8296, 45269, …
  (−∞, 0]nonnegative
• A178822 → Veronese 2 (j=1) → D+1
  6 · 42 · 224, 56 · 1008, 504 … Σ 0, 6, 42, 280, 1512, 7056, 29568, …
  (−∞, 0]nonnegative
• A091044 → basis A013609 → basis A013609
  1 · 8, 8 · 60, 112, 48 · 448, 1216, 1024, 256 … Σ 1, 16, 220, 2944, 39184, 520960, …
  (−∞, 0]nonnegative
• A038243 → basis A013611
  1 · 6, 4 · 36, 48, 16 · 216, 432, 288, 64 … Σ 1, 10, 100, 1000, 10000, 100000, …
  (−∞, −1]nonnegativerational roots
• A008955 → θ+1
  1 · 1, 2 · 1, 10, 12 · 1, 28, 147, 144 … Σ 1, 3, 23, 320, 7040, 225540, 9936180, …
  (−∞, 0]nonnegative
• A099093 → reverse → (θ+1)²
  1 · 3 · 9, 12 · 27, 72 … Σ 1, 3, 21, 99, 486, 2268, 10395, 46737, …
  (−∞, 0]nonnegative
• A257621 → θ+1
  1 · 3, 6 · 9, 84, 27 · 27, 786, 1179, 108 … Σ 1, 9, 120, 2100, 45360, 1164240, …
  (−∞, 0]nonnegative
• A327997 → θ+1
  1 · 3, 2 · 9, 14, 3 · 27, 76, 36, 4 … Σ 1, 5, 26, 143, 845, 5437, 38466, …
  (−∞, 0]nonnegative
• A035607 → x ↦ x+1
  1 · 1 · 3, 2 · 7, 8, 2 … Σ 1, 1, 5, 17, 61, 217, 773, 2753, …
  (−∞, −1]nonnegative
• A143491 → basis A008277 → reverse
  1, 8, 12 · 1, 15, 60, 60 · 1, 24, 180, 480, 360 … Σ 21, 136, 1045, 9276, 93289, 1047376, …
  (−∞, 0]nonnegative
• A121574 → basis A013609 → D
  2 · 14, 8 · 70, 88, 24 · 310, 608, 360, 64 … Σ 0, 2, 22, 182, 1342, 9284, 61684, …
  (−∞, 0]nonnegative
• A132393 → reverse → D
  1 · 3, 4 · 6, 22, 18 · 10, 70, 150, 96 … Σ 0, 0, 1, 7, 46, 326, 2556, 22212, …
  (−∞, 0]nonnegative
• A358735 → reverse
  1 · 1, 1 · 2, 4, 1 · 6, 16, 10, 1 … Σ 1, 2, 7, 33, 191, 1304, 10241, 90865, …
  (−∞, 0]nonnegative
• A046739 → θ+1
  1, 14, 3 · 1, 42, 63, 4 · 1, 102, 483, 204, 5 … Σ 18, 110, 795, 6489, 59332, 600732, …
  (−∞, 0]nonnegative
• A038207 → basis A008277
  1 · 3, 1 · 9, 7, 1 · 27, 37, 12, 1 … Σ 1, 4, 17, 77, 372, 1915, 10481, 60814, …
  (−∞, 0]nonnegative
• A038226 → basis A013610
  121, 528, 576 · 1331, 8712, 19008, 13824 … Σ 1225, 42875, 1500625, 52521875, …
  (−∞, 0]nonnegativerational roots
• A099040 → x ↦ x−2
  1 · -4, 2 · 12, -14, 4 · -32, 64, -40, 8 … Σ 1, -2, 2, 0, -4, 8, -8, 0, …
  (0, 2]
• A059364 → basis A013610 → reverse
  1 · 3, 3 · 18, 33, 15 · 162, 423, 366, 105 … Σ 1, 6, 66, 1056, 22176, 576576, …
  (−∞, 0]nonnegativerational roots
• A114656 → x ↦ x/(x+1)
  1 · 2, 3 · 4, 14, 11 · 8, 48, 84, 45 … Σ 1, 5, 29, 185, 1257, 8925, 65445, …
  [−1, 0]nonnegative
• A136158 → basis A013610
  1 · 2, 3 · 8, 18, 9 · 32, 96, 90, 27 … Σ 1, 5, 35, 245, 1715, 12005, 84035, …
  (−∞, 0]nonnegativerational roots
• A038301 → reverse
  121, 198, 81 · 1331, 3267, 2673, 729 … Σ 400, 8000, 160000, 3200000, 64000000, …
  (−∞, 0]nonnegativerational roots
• A038336 → x ↦ x/(x+1) → basis A013609
  1156, 2992, 1936 · 39304, 152592, 197472, 85184 … Σ 6084, 474552, 37015056, 2887174368, …
  (−∞, 0]nonnegativerational roots
• A207606 → basis A013611 → basis A013609
  89, 216, 128 · 610, 2208, 2624, 1024 … Σ 433, 6466, 96557, 1441889, 21531778, …
  (−∞, 0]nonnegative
• A178821 → basis A013610 → basis A013610
  1 · 25, 45 · 375, 1350, 1215 … Σ 1, 70, 2940, 96040, 2689120, 67765824, …
  (−∞, 0]nonnegativerational roots
• A130534 → Veronese 2 (j=1) → (θ+1)²
  1 · 3 · 11, 4 · 50, 40 … Σ 0, 1, 3, 15, 90, 623, 4893, 43058, …
  (−∞, 0]nonnegative
• delannoy → x ↦ x+1 → D+1
  1 · 3, 1 · 10, 7, 1 · 30, 34, 11, 1 … Σ 1, 4, 18, 76, 314, 1272, 5078, 20036, …
  (−∞, 0]nonnegative
• A152198: Triangle read by rows, A007318 rows repeated.
  1 · 1 · 1, 1 · 1, 1 … Σ 1, 1, 2, 2, 4, 4, 8, 8, …
  (−∞, 0]nonnegativerational roots+1
• A318772 → x ↦ (1/243)x → basis A013610
  1 · 3 · 9 · 27 … Σ 1, 3, 9, 27, 85, 267, 837, 2619, …
  (−∞, 0]nonnegative
• A136572 → basis A013610
  1 · 1, 3 · 2, 12, 18 · 6, 54, 162, 162 … Σ 1, 4, 32, 384, 6144, 122880, 2949120, …
  [−1, 0]nonnegativerational roots
• A196347 → x ↦ x+1 → (θ+1)²
  1 · 2, 4 · 8, 32, 18 · 48, 288, 324, 96 … Σ 1, 6, 58, 756, 12312, 239760, 5423760, …
  (−∞, 0]nonnegative
• A181371 → basis A013609
  1 · 3 · 9, 2 · 27, 12 … Σ 1, 3, 11, 39, 139, 495, 1763, 6279, …
  (−∞, 0]nonnegative
• A145324 → basis A007318 → basis A013609
  1 · 5, 4 · 35, 58, 24 · 315, 802, 680, 192 … Σ 1, 9, 117, 1989, 41769, 1044225, …
  (−∞, 0]nonnegativerational roots
• A103327 → D → D+1
  1 · 12, 2 · 77, 48, 3 · 336, 468, 120, 4 … Σ 0, 1, 14, 128, 928, 5888, 34304, …
  (−∞, 0]nonnegative
• A027465 → basis A008277
  1 · 4, 1 · 16, 9, 1 · 64, 61, 15, 1 … Σ 1, 5, 26, 141, 799, 4736, 29371, …
  (−∞, 0]nonnegative