obreschkoff_combination

Obreschkoff combination Pₙ + Pₙ₊₁. All operations

216 sequences

• A028338 → x ↦ −2x+11 → Pₙ + Pₙ₊₁
  -5, 1 · 36, -12, 1 · -294, 133, -20, 1 … row sums -4, 25, -180, 1470, -13440, 136080, …
  (−∞, ∞) rational roots
• A322944 → Pₙ + Pₙ₊₁
  2, 1 · 3, 7, 1 · 8, 44, 16, 1 · 30, 310, 203, 29, 1 … row sums 3, 11, 69, 573, 5799, 68703, 929241, …
  (−∞, ∞) nonnegative
• A038325 → Pₙ + Pₙ₊₁
  12, 11 · 132, 253, 121 · 1452, 4235, 4114, 1331 … row sums 23, 506, 11132, 244904, 5387888, …
  (−∞, ∞) nonnegative rational roots
• A166973 → Pₙ + Pₙ₊₁
  2, 1 · 2, 8, 1 · 2, 50, 19, 1 · 2, 302, 259, 35, 1 … row sums 3, 11, 72, 599, 5843, 65696, 836377, …
  (−∞, ∞) nonnegative
• A028338 → x ↦ −2x+13 → Pₙ + Pₙ₊₁
  -6, 1 · 49, -14, 1 · -448, 176, -23, 1 … row sums -5, 36, -294, 2688, -27216, 302400, …
  (−∞, ∞) rational roots
• A013613 → Pₙ + Pₙ₊₁
  2, 6 · 2, 18, 36 · 2, 30, 144, 216 … row sums 8, 56, 392, 2744, 19208, 134456, …
  (−∞, ∞) nonnegative rational roots
• A225117 → Pₙ + Pₙ₊₁
  3, 1 · 6, 14, 1 · 12, 106, 61, 1 … row sums 4, 21, 180, 2106, 31104, 554040, …
  (−∞, ∞) nonnegative
• A038338 → Pₙ + Pₙ₊₁
  1872, 5472, 5328, 1728 … row sums 14400, 345600, 8294400, 199065600, …
  (−∞, ∞) nonnegative rational roots
• A225473 → Pₙ + Pₙ₊₁
  4, 4 · 12, 44, 32 · 36, 356, 704, 384 … row sums 8, 88, 1480, 33688, 963976, 33191128, …
  (−∞, ∞) nonnegative
• A038324 → Pₙ + Pₙ₊₁
  12, 10 · 132, 230, 100 · 1452, 3850, 3400, 1000 … row sums 22, 462, 9702, 203742, 4278582, …
  (−∞, ∞) nonnegative rational roots
• A075501 → Pₙ + Pₙ₊₁
  252, 270, 37, 1 · 1512, 3492, 936, 61, 1 … row sums 560, 6002, 75320, 1077230, 17165312, …
  (−∞, ∞) nonnegative
• A007318 → Pₙ + Pₙ₊₁
  2, 1 · 2, 3, 1 · 2, 5, 4, 1 · 2, 7, 9, 5, 1 … row sums 3, 6, 12, 24, 48, 96, 192, 384, …
  (−∞, ∞) nonnegative rational roots
• A257623 → Pₙ + Pₙ₊₁
  4, 3 · 12, 51, 9 · 36, 549, 510, 27 … row sums 7, 72, 1122, 23232, 598752, 18450432, …
  (−∞, ∞) nonnegative
• A143495 → Pₙ + Pₙ₊₁
  4, 1 · 12, 8, 1 · 36, 44, 13, 1 … row sums 5, 21, 94, 449, 2287, 12396, 71295, …
  (−∞, ∞) nonnegative
• A028338 → x ↦ (−1/2)x+1 (shift +2) → Pₙ + Pₙ₊₁
  -352, 164, -23, 1 · 5760, -3024, 536, -39, 1 … row sums -210, 3234, -62370, 1448370, -39369330, …
  (−∞, ∞) rational roots
• A060187 → Pₙ + Pₙ₊₁
  2, 1 · 2, 7, 1 · 2, 29, 24, 1 · 2, 99, 253, 77, 1 … row sums 3, 10, 56, 432, 4224, 49920, 691200, …
  (−∞, ∞) nonnegative
• A013618 → Pₙ + Pₙ₊₁
  2, 55, 484, 1331 · 2, 77, 1089, 6655, 14641 … row sums 1872, 22464, 269568, 3234816, 38817792, …
  (−∞, ∞) nonnegative rational roots
• A013622 → Pₙ + Pₙ₊₁
  4, 5 · 12, 35, 25 · 36, 165, 250, 125 … row sums 9, 72, 576, 4608, 36864, 294912, …
  (−∞, ∞) nonnegative rational roots
• A257606 → Pₙ + Pₙ₊₁
  5, 4 · 20, 44, 16 · 80, 336, 312, 64 … row sums 9, 80, 792, 8640, 102960, 1330560, …
  (−∞, ∞) nonnegative
• A028338 → Pₙ + Pₙ₊₁
  2, 1 · 4, 5, 1 · 18, 27, 10, 1 · 120, 199, 95, 17, 1 … row sums 3, 10, 56, 432, 4224, 49920, 691200, …
  (−∞, ∞) nonnegative rational roots
• A144696 → Pₙ + Pₙ₊₁
  2, 2 · 2, 9, 4 · 2, 25, 37, 8 · 2, 59, 204, 139, 16 … row sums 4, 15, 72, 420, 2880, 22680, 201600, …
  (−∞, ∞) nonnegative
• A038305 → Pₙ + Pₙ₊₁
  1100, 960, 279, 27 · 11000, 12900, 5670, 1107, 81 … row sums 2366, 30758, 399854, 5198102, 67575326, …
  (−∞, ∞) nonnegative rational roots
• A038322 → Pₙ + Pₙ₊₁
  12, 8 · 132, 184, 64 · 1452, 3080, 2176, 512 … row sums 20, 380, 7220, 137180, 2606420, …
  (−∞, ∞) nonnegative rational roots
• A007318 → basis A049020 → Pₙ + Pₙ₊₁
  3, 1 · 7, 6, 1 · 20, 27, 10, 1 · 67, 121, 70, 15, 1 … row sums 4, 14, 58, 274, 1442, 8322, 52066, …
  (−∞, ∞) nonnegative
• A144697 → Pₙ + Pₙ₊₁
  2, 3 · 2, 13, 9 · 2, 35, 76, 27 · 2, 81, 393, 403, 81 … row sums 5, 24, 140, 960, 7560, 67200, 665280, …
  (−∞, ∞) nonnegative
• A028338 → x ↦ −2x+5 → Pₙ + Pₙ₊₁
  -2, 1 · 9, -6, 1 · -48, 40, -11, 1 … row sums -1, 4, -18, 96, -600, 4320, -35280, …
  (−∞, ∞) rational roots
• A075504 → Pₙ + Pₙ₊₁
  810, 594, 55, 1 · 7290, 11502, 2079, 91, 1 … row sums 1460, 20963, 353063, 6826520, …
  (−∞, ∞) nonnegative
• A028338 → x ↦ 2x−3 → Pₙ + Pₙ₊₁
  0, 1 · -1, 0, 1 · 0, -2, 1, 1 · 0, -3, -1, 3, 1 … row sums 1, 0, 0, 0, 0, 0, 0, 0, …
  (−∞, ∞) rational roots
• A391533 → Pₙ + Pₙ₊₁
  8, 12, 6, 1 · 8, 20, 18, 7, 1 · 8, 28, 38, 25, 8, 1 … row sums 27, 54, 108, 216, 432, 864, 1728, 3456, …
  (−∞, −1] nonnegative rational roots
• A156366 → Pₙ + Pₙ₊₁
  2, 45, 108, 27 · 2, 111, 693, 729, 81 … row sums 182, 1616, 17360, 218576, 3154352, …
  (−∞, ∞) nonnegative
• A257608 → Pₙ + Pₙ₊₁
  2, 1 · 2, 21, 1 · 2, 239, 220, 1 … row sums 3, 24, 462, 13200, 497640, 23274240, …
  (−∞, ∞) nonnegative
• A038259 → Pₙ + Pₙ₊₁
  7, 5 · 42, 65, 25 · 252, 600, 475, 125 … row sums 12, 132, 1452, 15972, 175692, 1932612, …
  (−∞, ∞) nonnegative rational roots
• A038320 → Pₙ + Pₙ₊₁
  1452, 2310, 1224, 216 … row sums 5202, 88434, 1503378, 25557426, …
  (−∞, ∞) nonnegative rational roots
• A227450 → Pₙ + Pₙ₊₁
  4, 4 · 4, 16, 8 · 4, 40, 56, 16 · 4, 88, 248, 176, 32 … row sums 8, 28, 116, 548, 2884, 16644, 104132, …
  (−∞, ∞) nonnegative
• A038231 → Pₙ + Pₙ₊₁
  5, 1 · 20, 9, 1 · 80, 56, 13, 1 … row sums 6, 30, 150, 750, 3750, 18750, 93750, …
  (−∞, ∞) nonnegative rational roots
• A257622 → Pₙ + Pₙ₊₁
  5, 4 · 20, 60, 16 · 80, 608, 568, 64 … row sums 9, 96, 1320, 22176, 439824, 10053120, …
  (−∞, ∞) nonnegative
• A109692 → Pₙ + Pₙ₊₁
  2, 1 · 2, 5, 3 · 2, 13, 26, 15 · 2, 25, 109, 191, 105 … row sums 3, 10, 56, 432, 4224, 49920, 691200, …
  (−∞, ∞) nonnegative rational roots
• A128813 → Pₙ + Pₙ₊₁
  2, 1 · 2, 5, 3 · 2, 14, 30, 18 · 2, 30, 154, 306, 180 … row sums 3, 10, 64, 672, 10472, 226688, 6504960, …
  (−∞, ∞) nonnegative rational roots
• A066325 → x ↦ x−1 (shift -1) → Pₙ + Pₙ₊₁
  0, 1 · -1, -1, 1 · 2, -2, -2, 1 · 0, 8, -3, -3, 1 … row sums 1, -1, -1, 3, 3, -15, -15, 105, …
  (−∞, ∞)
• A178821 → Pₙ + Pₙ₊₁
  6, 5 · 20, 35, 15 · 50, 135, 120, 35 … row sums 11, 70, 340, 1400, 5152, 17472, 55680, …
  (−∞, ∞) nonnegative rational roots
• A027465 → Pₙ + Pₙ₊₁
  4, 1 · 12, 7, 1 · 36, 33, 10, 1 · 108, 135, 63, 13, 1 … row sums 5, 20, 80, 320, 1280, 5120, 20480, …
  (−∞, ∞) nonnegative rational roots
• A257624 → Pₙ + Pₙ₊₁
  6, 5 · 30, 85, 25 · 150, 995, 940, 125 … row sums 11, 140, 2210, 41600, 908960, 22605440, …
  (−∞, ∞) nonnegative
• A038255 → Pₙ + Pₙ₊₁
  7, 1 · 42, 13, 1 · 252, 120, 19, 1 … row sums 8, 56, 392, 2744, 19208, 134456, …
  (−∞, ∞) nonnegative rational roots
• A039755 → Pₙ + Pₙ₊₁
  2, 1 · 2, 5, 1 · 2, 17, 10, 1 · 2, 53, 67, 17, 1 … row sums 3, 8, 30, 140, 764, 4736, 32728, …
  (−∞, ∞) nonnegative
• A085880 → Pₙ + Pₙ₊₁
  2, 1 · 3, 5, 2 · 7, 19, 17, 5 · 19, 71, 99, 61, 14 … row sums 3, 10, 48, 264, 1568, 9792, 63360, …
  (−∞, ∞) nonnegative rational roots
• A038327 → Pₙ + Pₙ₊₁
  13, 1 · 156, 25, 1 · 1872, 456, 37, 1 … row sums 14, 182, 2366, 30758, 399854, 5198102, …
  (−∞, ∞) nonnegative rational roots
• A112493 → Pₙ + Pₙ₊₁
  2, 1 · 2, 5, 3 · 2, 15, 28, 15 · 2, 37, 155, 225, 105 … row sums 3, 10, 60, 524, 5976, 83920, 1398480, …
  (−∞, ∞) nonnegative
• A038334 → Pₙ + Pₙ₊₁
  1872, 3648, 2368, 512 … row sums 8400, 168000, 3360000, 67200000, …
  (−∞, ∞) nonnegative rational roots
• A008278 → x ↦ x+1 (shift +1) → Pₙ + Pₙ₊₁
  3, 1 · 7, 6, 1 · 20, 28, 11, 1 · 67, 132, 86, 20, 1 … row sums 4, 14, 60, 306, 1796, 11838, 86204, …
  (−∞, ∞) nonnegative
• A142075 → Pₙ + Pₙ₊₁
  2, 2 · 2, 10, 4 · 2, 30, 48, 8 · 2, 74, 308, 216, 16 … row sums 4, 16, 88, 616, 5224, 51976, 593128, …
  (−∞, ∞) nonnegative