A007189 Multiplicative encoding of Stirling numbers of first kind. (Formerly M1725)

2, 6, 540, 1240029000000, 108919557672285397857708866735205615234375000000000000000000000000

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. 833.

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(k)^abs(stirling1(n, k)). - Sean A. Irvine, Nov 15 2017

Crossrefs

Cf. A000040.

Sequence in context: A123261 A124061 A354516 * A114628 A135424 A132495

Adjacent sequences: A007186 A007187 A007188 * A007190 A007191 A007192

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved