OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Andrew Misseldine, Counting Schur Rings over Cyclic Groups, arXiv preprint arXiv:1508.03757 [math.RA], 2015. (page 19, 4th row; page 21, 5th row).
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
O.g.f.: (3 + 51*x - 24*x^2 + 108*x^3 - 27*x^4 + 9*x^5)/(1-x)^6.
E.g.f.: (3 + 66*x + 105*x^2 + 62*x^3 + 14*x^4 + x^5)*exp(x).
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).
MATHEMATICA
Table[n^5 + 4 n^4 + 13 n^3 + 23 n^2 + 25 n + 3, {n, 0, 40}]
PROG
(Magma) [n^5+4*n^4+13*n^3+23*n^2+25*n+3: n in [0..40]];
(PARI) x='x+O('x^99); Vec((3+51*x-24*x^2+108*x^3-27*x^4+9*x^5)/(1-x)^6) \\ Altug Alkan, Apr 03 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 03 2016
STATUS
approved