OFFSET
0,1
COMMENTS
This is the sequence of third terms of "fourth partial sums of m-th powers".
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Luciano Ancora, Demonstration of formulas, page 1.
Luciano Ancora, Recurrence relations for partial sums of m-th powers
Index entries for linear recurrences with constant coefficients, signature (6,-11,6).
FORMULA
G.f.: -(74*x^2-69*x+15) / ((x-1)*(2*x-1)*(3*x-1)). - Colin Barker, Jan 30 2015
a(n) = 6*a(n-1)-11*a(n-2)+6*a(n-3). - Colin Barker, Jan 30 2015
MATHEMATICA
Table[2^(n+2) + 3^n + 10, {n, 0, 30}] (* Bruno Berselli, Jan 30 2015 *)
PROG
(PARI) vector(30, n, n--; 2^(n+2) + 3^n + 10) \\ Colin Barker, Jan 30 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Jan 29 2015
STATUS
approved