OFFSET
0,7
REFERENCES
Charles Jordan, Calculus of Finite Differences, Budapest, 1939, p. 449.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
G.f.: 5*x^6/(1-x)^7. - Colin Barker, Mar 01 2012
E.g.f.: x^6*exp(x)/144. - G. C. Greubel, May 22 2022
From Amiram Eldar, Jul 19 2022: (Start)
Sum_{n>=6} 1/a(n) = 6/25.
Sum_{n>=6} (-1)^n/a(n) = 192*log(2)/5 - 661/25. (End)
MATHEMATICA
Table[5Binomial[n, 6], {n, 0, 100}] (* Stefan Steinerberger, Apr 30 2006 *)
PROG
(PARI) a(n)=5*binomial(n, 6) \\ Charles R Greathouse IV, Oct 07 2015
(SageMath) [5*binomial(n, 6) for n in (0..40)] # G. C. Greubel, May 22 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved