OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).
FORMULA
a(n) = 11*n^5 + 0*n^4 + 209*n^3 - 264*n^2 + 308*n - 144.
G.f.: (120+720*z-120*z^2+384*z^3+72*z^4+144*z^5)/(1-z)^6.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - G. C. Greubel, Jun 15 2016
MATHEMATICA
Table[11*n^5 + 209*n^3 - 264*n^2 + 308*n - 144, {n, 1, 100}] (* or *) Linearrecurrence[{6, -15, 20, -15, 6, -1}, {120, 1440, 6720, 21504, 55296, 122880}, 100] (* G. C. Greubel, Jun 15 2016 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
STATUS
approved