OFFSET
0,4
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..280
MAPLE
seq(add(binomial(n, k)*stirling1(n, k)*stirling2(n, k), k = 0..n), n = 0 .. 20); # G. C. Greubel, Aug 07 2019
MATHEMATICA
Table[Sum[Binomial[n, k]*StirlingS1[n, k]*StirlingS2[n, k], {k, 0, n}], {n, 0, 20}] (* G. C. Greubel, Aug 07 2019 *)
PROG
(PARI) {a(n) = sum(k=0, n, stirling(n, k, 1)*stirling(n, k, 2)*binomial(n, k))};
vector(20, n, n--; a(n)) \\ G. C. Greubel, Aug 07 2019
(Magma) [(&+[StirlingFirst(n, k)*StirlingSecond(n, k)*Binomial(n, k): k in [0..n]]): n in [0..20]]; // G. C. Greubel, Aug 07 2019
(Sage) [sum((-1)^(n-k)*stirling_number1(n, k)* stirling_number2(n, k) *binomial(n, k) for k in (0..n)) for n in (0..20)] # G. C. Greubel, Aug 07 2019
(GAP) List([0..20], n-> Sum([0..n], k-> (-1)^(n-k)*Stirling1(n, k) *Stirling2(n, k)*Binomial(n, k) )); # G. C. Greubel, Aug 07 2019
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved