OFFSET
0,2
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, eq. (48), page 8.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: 24*x / (x-1)^6 . - R. J. Mathar, Oct 03 2011
E.g.f.: x*(x^4 + 20*x^3 + 120*x^2 + 240*x + 120)*exp(x)/5. - G. C. Greubel, Nov 21 2017
From Amiram Eldar, Jul 02 2023: (Start)
Sum_{n>=1} 1/a(n) = 5/96.
Sum_{n>=1} (-1)^(n+1)/a(n) = 10*log(2)/3 - 655/288. (End)
MATHEMATICA
Table[(n + 4)*(n + 3)*(n + 2)*(n + 1)*n/5, {n, 0, 50}] (* G. C. Greubel, Nov 21 2017 *)
PROG
(Magma) [n*(n^4+10*n^3+35*n^2+50*n+24)/5: n in [0..30]]; // Vincenzo Librandi, Oct 05 2011
(PARI) for(n=0, 30, print1((n + 4)*(n + 3)*(n + 2)*(n + 1)*n/5, ", ")) \\ G. C. Greubel, Nov 21 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Nov 29 2009
STATUS
approved