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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Dec 01 2003
STATUS
approved