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 A343170 Triangle read by rows: coefficients of type B alternating Eulerian polynomials. 1
 1, 1, 1, 3, 2, 3, 11, 13, 13, 11, 57, 76, 118, 76, 57, 361, 597, 962, 962, 597, 361, 2763, 5270, 9733, 10548, 9733, 5270, 2763, 24611, 53849, 107427, 136673, 136673, 107427, 53849, 24611, 250737, 616408, 1334556, 1875432, 2167654, 1875432, 1334556, 616408, 250737 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..44. Shi-Mei Ma, Qi Fang, Toufik Mansour and Yeong-Nan Yeh, Alternating Eulerian polynomials and left peak polynomials, arXiv:2104.09374 [math.CO], 2021. EXAMPLE Triangle begins: 1; 1, 1; 3, 2, 3; 11, 13, 13, 11; 57, 76, 118, 76, 57; ... MATHEMATICA Bhat[0][_] = 1; Bhat[1][x_] := 1 + x; Bhat[n_][x_] := Bhat[n][x] = (n + x + (n-1) x^2) Bhat[n - 1][x] + (1 - x)* (1 + x^2) Bhat[n-1]'[x]; Table[CoefficientList[Bhat[n][x], x], {n, 0, 8}] // Flatten (* Jean-François Alcover, Apr 21 2021 *) CROSSREFS Cf. A145876, A343171. Sequence in context: A186102 A170848 A078017 * A169816 A291739 A057053 Adjacent sequences: A343167 A343168 A343169 * A343171 A343172 A343173 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Apr 21 2021 EXTENSIONS More terms from Jean-François Alcover, Apr 21 2021 STATUS approved

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Last modified November 28 22:38 EST 2023. Contains 367422 sequences. (Running on oeis4.)