OFFSET
1,3
LINKS
Bruno Berselli, Table of n, a(n) for n = 1..1000
X. Acloque, Polynexus Numbers and other mathematical wonders [broken link]
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
a(n) = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/252 = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/(2^8-2^2).
G.f.: x^2*(1+x)*(1+16*x+46*x^2+16*x^3+x^4)/(1-x)^8. - Bruno Berselli, Feb 10 2012
MATHEMATICA
Table[((n^8 - (n - 1)^8) - (n^2 - (n - 1)^2))/252, {n, 26}] (* Bruno Berselli, Feb 10 2012 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 25, 234, 1290, 5115, 16211, 43700}, 30] (* Harvey P. Dale, Nov 24 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Xavier Acloque, Oct 21 2003
EXTENSIONS
First term added according to the formula from Bruno Berselli, Feb 10 2012
STATUS
approved