OFFSET
0,2
COMMENTS
Always an integer.
LINKS
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n)=(n/24)*(9*n^3 + 58*n^2 + 123*n + 98).
G.f.: x*(x^3-4*x^2+6*x-12) / (x-1)^5. - Colin Barker, Jun 15 2013
MATHEMATICA
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 12, 54, 154, 349}, 40] (* Harvey P. Dale, May 01 2014 *)
PROG
(PARI) a(n)=if(n<0, 0, a(n)=n/24*(9*n^3 + 58*n^2 + 123*n + 98))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Oct 25 2003
STATUS
approved