Sequences

• A103633 → D+1
  1 · 1, 1 · 1, 3, 1 · 0, 2, 4, 1 … Σ 1, 2, 5, 7, 16, 20, 44, 52, …
  (−∞, 0]nonnegative
• A274498 → x ↦ x+1 → D
  6 · 18 · 108, 72 · 324, 216 … Σ 0, 0, 6, 18, 180, 540, 4050, 12150, …
  (−∞, −1]nonnegativerational roots
• A202241 → basis A013610
  1 · 3, 3 · 5, 15, 9 · 9, 45, 63, 27 … Σ 1, 6, 29, 144, 720, 3600, 18000, 90000, …
  (−∞, 0]nonnegative
• A094646 → Pₙ + Pₙ₊₁
  -1, 1 · 0, -2, 1 · 2, -1, -2, 1 · 0, 4, -4, -1, 1 … Σ 0, -1, 0, 0, 0, 0, 0, 0, …
  (−∞, ∞)rational roots
• A013618 → basis A013610 → basis A013610
  2025, 8910, 9801 · 91125, 601425, 1323135, 970299 … Σ 20736, 2985984, 429981696, 61917364224, …
  (−∞, 0]nonnegativerational roots
• A152842 → Veronese 2 (j=1)
  3 · 4 · 7, 9 · 8, 24 … Σ 0, 3, 4, 16, 32, 128, 256, 1024, …
  (−∞, 0]nonnegative
• A038333 → basis A013610 → basis A008277
  1600, 2121, 441 · 64000, 162981, 80703, 9261 … Σ 4162, 316945, 26729215, 2472376252, …
  (−∞, 0]nonnegative
• A109692 → basis A013610 → basis A008277
  1 · 5, 3 · 65, 111, 27 · 1365, 4971, 3042, 405 … Σ 1, 8, 203, 9783, 746820, 81692469, …
  (−∞, 0]nonnegative
• A060920 → Veronese 2 (j=1) → x ↦ x+1
  1 · 5 · 21, 1 · 85, 14 … Σ 0, 1, 5, 22, 99, 449, 2040, 9273, …
  (−∞, −1]nonnegative
• A013612 → basis A013611 → basis A008277
  676, 1440, 400 · 17576, 79760, 55200, 8000 … Σ 2516, 160536, 11667856, 946986976, …
  (−∞, 0]nonnegative
• A059473 → x ↦ x+1
  1 · 4, 2 · 18, 18, 4 · 80, 120, 56, 8 … Σ 1, 6, 40, 264, 1744, 11520, 76096, …
  (−∞, −1]nonnegative
• A152830 → basis A013609
  1 · 1 · 1 · 1 … Σ 1, 1, 1, 1, 4, 4, 4, 4, …
  (−∞, 0]nonnegativerational roots
• A106800 → θ+1
  1 · 1 · 1, 2 · 1, 6, 3 … Σ 1, 1, 3, 10, 38, 161, 747, 3753, …
  (−∞, 0]nonnegative
• A038220 → Veronese 2 → basis A013610
  1 · 3 · 13, 12 · 63, 108 … Σ 1, 3, 25, 171, 1201, 8403, 58825, …
  (−∞, 0]nonnegative
• Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*3^j.
  100, 60, 9 · 1000, 900, 270, 27 … Σ 169, 2197, 28561, 371293, 4826809, …
  (−∞, 0)nonnegativerational roots
• A013612 → x ↦ x+1 → θ+1
  36, 120, 75 · 216, 1080, 1350, 500 … Σ 231, 3146, 41261, 527076, 6603091, …
  (−∞, 0]nonnegativerational roots
• A086645 → γ
  1 · 1 · 1, 4 · 1, 12 … Σ 1, 1, 5, 13, 41, 121, 365, 1093, …
  (−∞, 0]nonnegative
• A136572 → basis A013609
  1 · 1, 2 · 2, 8, 8 · 6, 36, 72, 48 … Σ 1, 3, 18, 162, 1944, 29160, 524880, …
  [−1, 0]nonnegativerational roots
• A081578 → basis A013609 → θ+1
  1 · 2, 4 · 7, 28, 12 · 20, 120, 144, 32 … Σ 1, 6, 47, 316, 2109, 13634, 86731, …
  (−∞, 0]nonnegative
• image under θ+1 → θ+1 → D+1 → basis A013609
  1 · 8, 8 · 27, 72, 36 · 64, 288, 384, 128 … Σ 1, 16, 135, 864, 4725, 23328, 107163, …
  (−∞, 0]nonnegativerational roots
• A038336 → x ↦ x/(x+1)
  144, 528, 484 · 1728, 9504, 17424, 10648 … Σ 1156, 39304, 1336336, 45435424, …
  [−1, 0]nonnegativerational roots
• A038259 → basis A013610 → θ+1
  1 · 11, 30 · 121, 660, 675 … Σ 1, 41, 1456, 47996, 1511536, 46154576, …
  (−∞, 0]nonnegativerational roots
• A038323 → basis A013610 → D+1
  1 · 47, 27 · 1480, 2538, 729 … Σ 1, 74, 4747, 282752, 16092565, …
  (−∞, 0]nonnegativerational roots
• A178820 → Veronese 2 → D
  10 · 60 · 210, 70 · 560, 560 … Σ 0, 0, 10, 60, 280, 1120, 4032, 13440, …
  (−∞, 0]nonnegative
• A013613 → basis A013611 → x ↦ x+1
  1 · 31, 24 · 961, 1488, 576 … Σ 1, 55, 3025, 166375, 9150625, …
  (−∞, −1]nonnegativerational roots
• A008288 → basis A013610 → basis A013611
  1 · 5, 12 · 29, 132, 144 · 165, 1116, 2448, 1728 … Σ 1, 17, 305, 5457, 97649, 1747345, …
  (−∞, 0]nonnegative
• A360282 → reverse
  1 · 1 · 2, 3 · 3, 12, 10 … Σ 1, 1, 5, 25, 129, 681, 3653, 19825, …
  (−∞, 0]nonnegative
• A207823 → reverse → x ↦ x/(x+1)
  1 · 1, 5 · 1, 10, 24 · 1, 15, 73, 115 … Σ 1, 6, 35, 204, 1189, 6930, 40391, …
  [−1, 0]nonnegative
• A159854 → basis A013609
  1, 4, 4 · 2, 10, 16, 8 · 4, 24, 52, 48, 16 … Σ 9, 36, 144, 576, 2304, 9216, 36864, …
  (−∞, 0]nonnegativerational roots
• A129186 → basis A013610
  1 · 1 · 1, 3 · 1, 6, 9 … Σ 1, 1, 4, 16, 64, 256, 1024, 4096, …
  (−∞, 0]nonnegativerational roots
• A154986 → θ+1 → x ↦ x/(x+1)
  1 · 1, 3 · 1, 10, 12 · 1, 25, 80, 60 … Σ 1, 4, 23, 166, 1437, 14488, 166515, …
  [−1, 0]nonnegative
• A144436 → D
  1 · 8, 2 · 23, 46, 3 · 54, 340, 162, 4 … Σ 0, 1, 10, 72, 560, 4680, 42672, 424480, …
  (−∞, 0]nonnegative
• basis-map coefficients of A112227 → θ+1 → basis A013611
  3, 24, 48 · 4, 48, 192, 256 · 5, 80, 480, 1280, 1280 … Σ 75, 500, 3125, 18750, 109375, 625000, …
  (−∞, 0]nonnegativerational roots
• A098158 → (θ+1)²
  1 · 0, 4 · 0, 4, 9 · 0, 0, 27, 16 … Σ 1, 4, 13, 43, 130, 366, 980, 2528, …
  (−∞, 0]nonnegative
• A028246 → D+1
  1 · 2, 1 · 4, 7, 2 · 8, 31, 30, 6 … Σ 1, 3, 13, 75, 541, 4683, 47293, 545835, …
  (−∞, 0]nonnegative
• A028326 → Veronese 2 → basis A013611
  2 · 2 · 4, 8 · 8, 24 … Σ 2, 2, 12, 32, 112, 352, 1152, 3712, …
  (−∞, 0]nonnegative
• A272867 → x ↦ x+1 → basis A013609
  1 · 13, 16, 4 · 169, 416, 360, 128, 16 … Σ 1, 33, 1089, 35937, 1185921, 39135393, …
  (−∞, 0]nonnegative
• A136572 → (θ+1)² → basis A013610
  1 · 4, 12 · 18, 108, 162 · 96, 864, 2592, 2592 … Σ 1, 16, 288, 6144, 153600, 4423680, …
  (−∞, 0]nonnegativerational roots
• A008955 → basis A007318 → basis A007318
  1 · 3, 1 · 27, 21, 4 · 513, 642, 265, 36 … Σ 1, 4, 52, 1456, 71344, 5422144, …
  (−∞, −1]nonnegativerational roots
• A119808 → basis A013610
  1 · 3, 3 · 9, 15 · 27, 63, 18 … Σ 1, 6, 24, 108, 468, 2052, 8964, 39204, …
  (−∞, 0]nonnegative
• A008292 → γ → x ↦ x+1
  1 · 1 · 3, 2 · 9, 8 … Σ 1, 1, 5, 17, 109, 649, 5285, 44513, …
  (−∞, −1]nonnegative
• A001263 → (θ+1)²
  1 · 1, 4 · 1, 12, 9 · 1, 24, 54, 16 … Σ 1, 5, 22, 95, 406, 1722, 7260, 30459, …
  (−∞, 0]nonnegative
• A028338 → D
  1 · 4, 2 · 23, 18, 3 · 176, 172, 48, 4 … Σ 0, 1, 6, 44, 400, 4384, 56448, 836352, …
  (−∞, 0]nonnegative
• A123519 → basis A013611 → basis A007318
  131, 184, 64 · 1561, 3248, 2240, 512 … Σ 379, 7561, 150841, 3009259, 60034339, …
  (−∞, 0]nonnegative
• chebyshev_t → D+1
  1 · 1, 1 · -1, 4, 2 · -3, -3, 12, 4 … Σ 1, 2, 5, 10, 17, 26, 37, 50, …
  (−∞, ∞)
• A147716 → basis A013611 → reverse
  1 · 4, 15 · 16, 120, 225 · 64, 720, 2700, 3375 … Σ 1, 19, 361, 6859, 130321, 2476099, …
  (−∞, 0]nonnegativerational roots
• A257613 → γ
  1 · 4 · 16, 16 · 64, 224 … Σ 1, 4, 32, 288, 3264, 41856, 615168, …
  (−∞, 0]nonnegative
• A135065 → D+1
  1 · 8, 4 · 27, 36, 9 · 64, 144, 96, 16 … Σ 1, 12, 72, 320, 1200, 4032, 12544, …
  (−∞, −1]nonnegativerational roots
• A397048 → reverse
  1 · 1, 1 · 1, 5, 4 · 1, 12, 37, 27 … Σ 1, 2, 10, 77, 799, 10427, 163967, …
  (−∞, 0]nonnegative
• A091042 → basis A007318 → D+1
  1 · 7, 3 · 36, 30, 5 · 176, 224, 77, 7 … Σ 1, 10, 71, 484, 3229, 21198, 137411, …
  (−∞, 0]nonnegative