A055855 Convolution of A055854 with A011782.

0, 1, 10, 64, 328, 1462, 5908, 22180, 78592, 265729, 864146, 2719028, 8316200, 24814832, 72453344, 207502016, 584094080, 1618757120, 4423347200, 11932579840, 31812874240, 83901227008, 219074805760, 566754967552

Offset

0,3

Comments

Tenth column of triangle A055587.

T(n,8) of array T as in A049600.

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (18,-144,672,-2016,4032,-5376,4608,-2304,512).

Formula

a(n) = T(n, 8) = A055587(n+8, 9).

G.f.: x*(1-x)^8/(1-2*x)^9.

Maple

seq(coeff(series(x*(1-x)^8/(1-2*x)^9, x, n+1), x, n), n = 0..30); # G. C. Greubel, Jan 16 2020

Mathematica

CoefficientList[Series[x*(1-x)^8/(1-2*x)^9, {x, 0, 30}], x] (* G. C. Greubel, Jan 16 2020 *)

Prog

(PARI) my(x='x+O('x^30)); concat([0], Vec(x*(1-x)^8/(1-2*x)^9)) \\ G. C. Greubel, Jan 16 2020
(Magma) R<x>:=PowerSeriesRing(Integers(), 30); [0] cat Coefficients(R!( x*(1-x)^8/(1-2*x)^9 )); // G. C. Greubel, Jan 16 2020
(Sage)
def A055855_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( x*(1-x)^8/(1-2*x)^9 ).list()
A055855_list(30) # G. C. Greubel, Jan 16 2020

Crossrefs

Cf. A011782, A049600, A055584, A055857.

Sequence in context: A178256 A036426 A245068 * A061183 A367591 A241401

Adjacent sequences: A055852 A055853 A055854 * A055856 A055857 A055858

Keyword

nonn,easy

Author

Wolfdieter Lang May 30 2000

Status

approved