OFFSET
0,1
COMMENTS
This is the sequence of fifth terms of "fifth partial sums of m-th powers".
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Luciano Ancora, Demonstration of formulas, page 2.
Luciano Ancora, Recurrence relations for partial sums of m-th powers
Index entries for linear recurrences with constant coefficients, signature (15,-85,225,-274,120).
FORMULA
G.f.: -6*(1879*x^4-2675*x^3+1335*x^2-280*x+21) / ((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)). - Colin Barker, Jan 30 2015
a(n) = 15*a(n-1)-85*a(n-2)+225*a(n-3)-274*a(n-4)+120*a(n-5). - Colin Barker, Jan 30 2015
MATHEMATICA
Table[35 2^n + 5 4^n + 15 3^n + 5^n + 70, {n, 0, 30}] (* Bruno Berselli, Jan 30 2015 *)
PROG
(PARI) vector(30, n, n--; 35*2^n + 5*4^n + 15*3^n + 5^n + 70) \\ Colin Barker, Jan 30 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Jan 30 2015
STATUS
approved