OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
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) for n>5. - Colin Barker, Feb 12 2015
G.f.: x*(71*x^4-316*x^3+534*x^2-408*x+120) / (x-1)^6. - Colin Barker, Feb 12 2015
MATHEMATICA
Table[n (n^4 + 30 n^3 + 395 n^2 + 2910 n + 11064)/120, {n, 0, 40}] (* Bruno Berselli, Feb 12 2015 *)
PROG
(PARI) concat(0, Vec(x*(71*x^4-316*x^3+534*x^2-408*x+120)/(x-1)^6 + O(x^100))) \\ Colin Barker, Feb 12 2015
(PARI) vector(40, n, n--; n*(n^4+30*n^3+395*n^2+2910*n+11064)/120) \\ Bruno Berselli, Feb 12 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Philippe Deléham, Jan 31 2004
EXTENSIONS
Name rewritten by Bruno Berselli, Feb 12 2015
STATUS
approved