OFFSET
0,1
LINKS
Ray Chandler, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
a(n) = A063260(n+2, 7 )= (n+1)*(n+2)*(n^5+32*n^4+413*n^3+2722*n^2+9432*n+10080)/7!.
G.f.: (4-5*x+5*x^3-4*x^4+x^5)/(1-x)^8; the numerator polynomial is N6(7, x) from row n=7 of array A063261.
a(n) = 4*C(n+2,2) + 15*C(n+2,3) + 20*C(n+2,4) + 15*C(n+2,5) + 6*C(n+2,6) + C(n+2,7) (see comment in A213888). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012
MATHEMATICA
CoefficientList[Series[(4-5x+5x^3-4x^4+x^5)/(1-x)^8, {x, 0, 30}], x] (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {4, 27, 104, 305, 756, 1667, 3368, 6354}, 30] (* Harvey P. Dale, Mar 07 2023 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jul 24 2001
STATUS
approved