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

Author

Wolfdieter Lang May 30 2000

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A011782, A049600, A055584, A055857.

Programs

Magma

R:=PowerSeriesRing(Integers(), 30); [0] cat Coefficients(R!( x*(1-x)^8/(1-2*x)^9 )); // G. C. Greubel, Jan 16 2020

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 *)

PARI

my(x='x+O('x^30)); concat([0], Vec(x*(1-x)^8/(1-2*x)^9)) \\ G. C. Greubel, Jan 16 2020

Sage

def A055855_list(prec):
    P. = PowerSeriesRing(ZZ, prec)
    return P( x*(1-x)^8/(1-2*x)^9 ).list()
A055855_list(30) # G. C. Greubel, Jan 16 2020

Formula

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

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