OFFSET
1,1
REFERENCES
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.
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
Mircea Merca, Some experiments with complete and elementary symmetric functions, Periodica Mathematica Hungarica, 69 (2014), 182-189.
FORMULA
a(n) = (n+1)!^5 * Sum_{k=1..n+1} ((-1)^(k+1)*C(n+1,k)/k^5). - Sean A. Irvine, Mar 30 2012; corrected by Michel Marcus, Apr 28 2020
MATHEMATICA
a[n_] := -(Factorial[n + 1]^5)*Sum[(-1)^k Binomial[n + 1, k]/k^5, {k, 1, n + 1}]; Table[a[n], {n, 10}] (* James C. McMahon, Dec 12 2023 *)
PROG
(PARI) a(n) = (n+1)!^5 * sum(k=1, n+1, (-1)^(k+1)*binomial(n+1, k)/k^5); \\ Michel Marcus, Apr 28 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Mar 29 2012
STATUS
approved