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A343171 Irregular triangle read by rows: coefficients of polynomials xi_n. 1
1, 1, 3, 1, 11, 5, 57, 38, 5, 361, 302, 61, 2763, 2827, 845, 61, 24611, 29607, 11421, 1385, 250737, 347372, 165678, 30108, 1385, 2873041, 4501564, 2551326, 610444, 50521, 36581523, 63967093, 42044902, 12558738, 1578727, 50521 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..35.

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;

    3,   1;

   11,   5;

   57,  38,  5;

  361, 302, 61;

  ...

MATHEMATICA

xi[0][_] = 1;

xi[n_][x_] := xi[n, x] = (2n - 1 + (n-1) x) xi[n-1][x] - (1 + x)(4 + 2x)* xi[n-1]'[x];

Table[CoefficientList[xi[n][x], x], {n, 0, 10}] // Flatten (* Jean-François Alcover, Apr 21 2021 *)

CROSSREFS

First column gives A001586.

Cf. A343170.

Sequence in context: A027446 A027516 A092808 * A113955 A110165 A111965

Adjacent sequences:  A343168 A343169 A343170 * A343172 A343173 A343174

KEYWORD

nonn,tabf

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 September 16 18:26 EDT 2021. Contains 347473 sequences. (Running on oeis4.)