A089514 Fourth column of triangle A089504.

1, 210, 31356, 4150440, 521757936, 64043874720, 7771495098816, 937759335004800, 112842062355914496, 13559707534436743680, 1628284591773850622976, 195461334300256627599360

Offset

0,2

Comments

Convolution of A089513 with powers of 120.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..480

Index entries for linear recurrences with constant coefficients, signature (210,-12744,241920,-1036800).

Formula

G.f.: 1/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)*(1-6*5*4*x)).

a(n) = A089504(n+4, 4), n>=0.

a(n) = (1350*(6*5*4)^n - 950*(5*4*3)^n + 114*(4*3*2)^n - (3*2*1)^n)/513.

Mathematica

CoefficientList[Series[1/((1-6x)(1-24x)(1-60x)(1-120x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {210, -12744, 241920, -1036800}, {1, 210, 31356, 4150440}, 20] (* Harvey P. Dale, Mar 17 2023 *)

Crossrefs

Cf. A089505, A089513.

Sequence in context: A092711 A187308 A229754 * A289328 A014979 A356690

Adjacent sequences: A089511 A089512 A089513 * A089515 A089516 A089517

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 01 2003

Status

approved