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1381 sequences

• A091042 → D+1
  1 · 4, 3 · 11, 20, 5 · 22, 91, 56, 7 … row sums 1, 7, 36, 176, 832, 3840, 17408, 77824, …
  (−∞, 0] nonnegative
• A188440 → basis A007318
  1 · 1 · 3, 2 · 3, 2 … row sums 1, 1, 5, 5, 25, 25, 125, 125, …
  (−∞, −1] nonnegative rational roots
• A367270 → D
  2 · 6, 6 · 12, 36, 12 · 20, 120, 120, 20 … row sums 0, 0, 2, 12, 60, 280, 1260, 5544, …
  (−∞, 0] nonnegative
• A099093 → x ↦ x−3
  1 · -9, 3 · 72, -51, 9 · -567, 621, -225, 27 … row sums 1, -6, 30, -144, 684, -3240, 15336, …
  (5/3, 3]
• A120910 → θ+1
  3 · 6, 6 · 12, 24, 9 · 24, 72, 54, 12 … row sums 3, 12, 45, 162, 567, 1944, 6561, 21870, …
  (−∞, 0] nonnegative rational roots
• A113214 → x ↦ x−4
  1 · -2, 1 · 4, -5, 1 · -8, 18, -8, 1 … row sums 1, -1, 0, 3, -9, 18, -27, 27, …
  (0, 4]
• A207823 → θ+1
  1 · 4, 2 · 15, 16, 3 · 56, 92, 36, 4 … row sums 1, 6, 34, 188, 1021, 5468, 28959, …
  (−∞, 0] nonnegative
• A008292 → θ+1
  1 · 1, 2 · 1, 8, 3 · 1, 22, 33, 4 … row sums 0, 1, 3, 12, 60, 360, 2520, 20160, …
  (−∞, 0] nonnegative
• A081580 → basis A007318
  1 · 2, 1 · 9, 9, 1 · 28, 42, 16, 1 … row sums 1, 3, 19, 87, 451, 2223, 11179, 55767, …
  (−∞, −1] nonnegative
• A028326 → D+1
  2 · 4, 2 · 6, 8, 2 · 8, 18, 12, 2 … row sums 2, 6, 16, 40, 96, 224, 512, 1152, …
  (−∞, 0] nonnegative rational roots
• A052553 → θ+1
  1 · 1 · 1, 2 · 1, 4 … row sums 1, 1, 3, 5, 10, 18, 33, 59, …
  (−∞, 0] nonnegative
• A063967 → x ↦ x−2
  1 · -1, 1 · 0, -1, 1 · 1, -1, -1, 1 … row sums 1, 0, 0, 0, 0, 0, 0, 0, …
  (−3, 1]
• A207823 → x ↦ x/(x+1)
  1 · 4, 5 · 15, 38, 24 · 56, 214, 272, 115 … row sums 1, 9, 77, 657, 5605, 47817, 407933, …
  [−1, −2/3) nonnegative
• A266213 → (θ+1)²
  1 · 1 · 1, 8 · 1, 16, 18 … row sums 1, 1, 9, 35, 129, 437, 1409, 4375, …
  (−∞, 0] nonnegative
• A130534 → x ↦ x/(x+1)
  1 · 1, 2 · 2, 7, 6 · 6, 29, 46, 24 … row sums 1, 3, 15, 105, 945, 10395, 135135, …
  [−1, 0] nonnegative rational roots
• A038231 → x ↦ x/(x+1)
  1 · 4, 5 · 16, 40, 25 · 64, 240, 300, 125 … row sums 1, 9, 81, 729, 6561, 59049, 531441, …
  [−1, 0] nonnegative rational roots
• A064861 → x ↦ x/(x+1)
  1, 5, 6 · 1, 8, 21, 18 · 1, 10, 37, 60, 36 … row sums 12, 48, 144, 576, 1728, 6912, 20736, …
  [−1, 0] nonnegative rational roots
• A274496 → D
  2 · 4 · 8, 8 · 16, 16 … row sums 0, 0, 2, 4, 16, 32, 96, 192, …
  (−∞, 0] nonnegative rational roots
• A023531 → x ↦ x−1
  1 · -1, 1 · 1, -2, 1 · -1, 3, -3, 1 … row sums 1, 0, 0, 0, 0, 0, 0, 0, …
  (−∞, 1] [0, ∞) rational roots
• A063967 → x ↦ x−7
  1 · -6, 1 · 30, -11, 1 · -144, 84, -16, 1 … row sums 1, -5, 20, -75, 275, -1000, 3625, …
  (2, 6]
• A010054 → reverse → θ+1
  1 · 0, 8 · 0, 0, 21 · 0, 0, 0, 40 … row sums 1, 8, 21, 40, 65, 96, 133, 176, …
  (−∞, 0] nonnegative rational roots
• A127773: Triangle read by rows: row n consists of n-1 zeros followed by n(n+1)/2.
  A010054 → reverse
  1 · 0, 3 · 0, 0, 6 · 0, 0, 0, 10 … row sums 1, 3, 6, 10, 15, 21, 28, 36, …
  A127773 [−1, 0] nonnegative rational roots
• A010054 → reverse → (θ+1)²
  1 · 0, 16 · 0, 0, 63 · 0, 0, 0, 160 … row sums 1, 16, 63, 160, 325, 576, 931, 1408, …
  (−∞, 0] nonnegative rational roots
• A118424: Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 001 (n,k>=0).
  A102547 → x ↦ (1/8)x−1/8
  1 · 2 · 4 · 7, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
  A118424 (−∞, 1] nonnegative
• A144438 → D
  1 · 5, 2 · 14, 28, 3 · 33, 178, 99, 4 … row sums 0, 1, 7, 45, 314, 2430, 20883, 198310, …
  (−∞, 0] nonnegative
• A030528 → basis A007318
  1 · 2, 1 · 3, 4, 1 · 5, 10, 6, 1 … row sums 1, 3, 8, 22, 60, 164, 448, 1224, …
  (−∞, −1] nonnegative
• A120910: Triangle read by rows: T(n,k) is the number of ternary words of length n having k levels (n >= 1, 0 <= k <= n-1). A level is a pair of identical consecutive letters.
  3 · 6, 3 · 12, 12, 3 · 24, 36, 18, 3 … row sums 3, 9, 27, 81, 243, 729, 2187, 6561, …
  A120910 (−∞, 0) nonnegative rational roots
• A094638 → D+1
  1 · 2, 1 · 4, 7, 2 · 7, 28, 29, 6 … row sums 1, 3, 13, 70, 446, 3276, 27252, 253296, …
  (−∞, 0] nonnegative
• A094816 → x ↦ x/(x+1)
  1 · 1, 2 · 1, 5, 5 · 1, 11, 25, 16 … row sums 1, 3, 11, 53, 345, 2947, 31411, 400437, …
  [−1, 0] nonnegative
• A063967 → D
  1 · 3, 2 · 7, 10, 3 · 15, 32, 21, 4 … row sums 0, 1, 5, 20, 72, 244, 796, 2528, …
  (−∞, 0] nonnegative
• A099093 → D+1
  1 · 3, 3 · 3, 21, 9 · 0, 36, 99, 27 … row sums 1, 6, 33, 162, 756, 3402, 14931, 64314, …
  (−∞, 0] nonnegative
• A010054 → reverse → reverse
  1 · 3 · 6 · 10 … row sums 1, 3, 6, 10, 15, 21, 28, 36, …
  (−∞, 0] nonnegative rational roots
• A188440 → θ+1
  1 · 1 · 1, 4 · 1, 4 … row sums 1, 1, 5, 5, 21, 21, 81, 81, …
  (−∞, 0] nonnegative rational roots
• A178822 → D
  6 · 42, 42 · 168, 336, 168 · 504, 1512, 1512, 504 … row sums 0, 6, 84, 672, 4032, 20160, 88704, …
  (−∞, 0] nonnegative rational roots
• A249251 → θ+1
  1 · 1, 6 · 1, 12, 18 · 1, 18, 63, 48 … row sums 1, 7, 31, 130, 520, 2017, 7651, 28537, …
  (−∞, 0] nonnegative
• A007318 → (θ+1)² → θ+1
  1 · 1, 8 · 1, 16, 27 · 1, 24, 81, 64 … row sums 1, 9, 44, 170, 576, 1792, 5248, 14688, …
  (−∞, 0] nonnegative
• A081577 → x ↦ x/(x+1)
  1 · 1, 2 · 1, 6, 6 · 1, 10, 24, 16 … row sums 1, 3, 13, 51, 205, 819, 3277, 13107, …
  [−1, 0] nonnegative
• A152828 → D
  1 · 1 · 1 · 2, 2 … row sums 0, 0, 0, 1, 1, 1, 4, 4, …
  (−∞, 0] nonnegative rational roots
• A152842 → reverse
  1 · 3, 1 · 3, 4, 1 · 9, 15, 7, 1 … row sums 1, 4, 8, 32, 64, 256, 512, 2048, …
  (−∞, 0] nonnegative rational roots
• A113953 → x ↦ x−5
  1 · -5, 1 · 15, -8, 1 · -25, 35, -11, 1 … row sums 1, -4, 8, 0, -64, 256, -512, 0, …
  (−3, 5]
• A232535 → reverse
  1 · 2, 1 · 3, 8, 1 · 4, 25, 18, 1 … row sums 1, 3, 12, 48, 192, 768, 3072, 12288, …
  (−∞, 0] nonnegative
• A124038 → D
  1 · -2, 2 · -2, -4, 3 · 4, -6, -6, 4 … row sums 0, 1, 0, -3, -4, 0, 6, 7, …
  (−∞, ∞)
• A028338 → x ↦ (−1/2)x+1 (shift +2)
  32, -12, 1 · -384, 176, -24, 1 … row sums 21, -231, 3465, -65835, 1514205, …
  [2, ∞) rational roots
• A023531 → 2D+1+2n → D
  3 · 4, 10 · 0, 12, 21 · 0, 0, 24, 36 … row sums 0, 3, 14, 33, 60, 95, 138, 189, …
  (−∞, 0] nonnegative rational roots
• A130123 → D
  2 · 0, 8 · 0, 0, 24 · 0, 0, 0, 64 … row sums 0, 2, 8, 24, 64, 160, 384, 896, …
  (−∞, 0] nonnegative rational roots
• A207606 → reverse
  2, 7, 4 · 2, 11, 16, 5 · 2, 15, 36, 30, 6 … row sums 13, 34, 89, 233, 610, 1597, 4181, …
  (−∞, 0] nonnegative
• A145596 → θ+1
  1 · 2, 4 · 3, 16, 9 · 4, 40, 60, 16 … row sums 1, 6, 28, 120, 495, 2002, 8008, 31824, …
  (−∞, 0] nonnegative
• A008459 → x ↦ x/(x+1)
  1 · 1, 2 · 1, 6, 6 · 1, 12, 30, 20 … row sums 1, 3, 13, 63, 321, 1683, 8989, 48639, …
  [−1, 0] nonnegative
• A108838 → ⊙ C(n+1,k+1) (shift +1) → x ↦ x+1
  1 · 2, 1 · 6, 6, 1 · 22, 33, 13, 1 … row sums 1, 3, 13, 69, 417, 2763, 19609, 146793, …
  (−∞, −1] nonnegative
• A126351 → θ+1
  1 · 1, 4 · 1, 10, 12 · 1, 18, 57, 32 … row sums 1, 5, 23, 108, 534, 2803, 15623, 92249, …
  (−∞, 0] nonnegative