A007190 Multiplicative encoding of Stirling numbers of 2nd kind. (Formerly M1724)

2, 6, 270, 478406250, 26574922713477178215980529785156250

Offset

1,1

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 835.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 48.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..5.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

N. J. A. Sloane, An on-line version of the Encyclopedia of Integer Sequences, Electronic J. Combinatorics, Vol. 1, no. 1, 1994.

Formula

a(n) = Product_{k=1..n} prime(n)^Stirling2(n, k). - Sean A. Irvine, Nov 15 2017

Prog

(PARI) a(n) = prod(k=1, n, prime(n)^stirling(n, k, 2)); \\ Michel Marcus, Apr 20 2022

Crossrefs

Cf. A000040, A008277.

Sequence in context: A052342 A199125 A232696 * A164829 A028337 A215293

Adjacent sequences: A007187 A007188 A007189 * A007191 A007192 A007193

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved