OFFSET
1,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Wolfdieter Lang, On Generating functions of Diagonals Sequences of Sheffer and Riordan Number Triangles, arXiv:1708.01421 [math.NT], August 2017.
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = n*(n+1)*(n+2)*(3n+5)*(9n^2+21*n-2)/48.
G.f. -x*(28+222*x+147*x^2+8*x^3) / (x-1)^7 . - R. J. Mathar, Oct 08 2011
From Wolfdieter Lang, Jul 30 2017: (Start)
E.g.f.: x*exp(x)*(1344 + 8688*x + 10520*x^2 + 4122*x^3 + 594*x^4 + 27*x^5)/48.
a(n) = A286718(n+2, n-1), n >= 1. (End)
PROG
(Magma) [n*(n+1)*(n+2)*(3*n+5)*(9*n^2+21*n-2)/48: n in [1..30]]; // Vincenzo Librandi, Oct 10 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved