OFFSET
0,2
COMMENTS
The inverse binomial transform is 1, 16383, 790776, 7578522, 27624240, 46539360, 36741600, 11022480, 0, 0,... (0 continued). - R. J. Mathar, May 07 2008
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
G.f.: (1+16376x+692499x^2+3870352x^3+4890287x^4+1475736x^5+77101x^6 +128x^7)/ (1-x)^8. - R. J. Mathar, May 07 2008
E.g.f.: exp(x)*(2187*x^7+51030*x^6+387828*x^5+1151010*x^4 +1263087*x^3 +395388*x^2 +16383*x+1). - Robert Israel, Jun 15 2016
Sum_{n>=0} 1/a(n) = (147555*zeta(7) + 28*sqrt(3)*Pi^7)/295245. - Ilya Gutkovskiy, Jun 16 2016
MATHEMATICA
Table[(3n+1)^7, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
PROG
(Magma) [(3*n+1)^7: n in [0..30]]; // Vincenzo Librandi, Sep 21 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved