OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
FORMULA
(n^3 -6*n^2 +11*n -7)*a(n) -(n^4 -5*n^3 +8*n^2 -5*n -1)*a(n-1) +(n-1)*(n^3 -3*n^2 +2*n -1)*a(n-2) = 0 for n>1. [Bruno Berselli, Jul 26 2013]
MATHEMATICA
Table[n! + n^2 + 1, {n, 0, 30}].
PROG
(Magma) [Factorial(n)+n^2+1: n in [0..25]];
(Maxima) /* By the recurrence: */ a[0]:2$ a[1]:3$ a[n]:=(n^4-5*n^3+8*n^2-5*n-1)*a[n-1]/(n^3-6*n^2+11*n -7)-(n-1)*(n^3-3*n^2+2*n-1)*a[n-2]/(n^3-6*n^2+11*n-7)$ makelist(a[n], n, 0, 21); /* Bruno Berselli, Jul 26 2013 */
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jul 26 2013
STATUS
approved