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A007189 Multiplicative encoding of Stirling numbers of first kind.
(Formerly M1725)
0
2, 6, 540, 1240029000000, 108919557672285397857708866735205615234375000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
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: A199239 A123261 A124061 * A114628 A135424 A132495

Adjacent sequences:  A007186 A007187 A007188 * A007190 A007191 A007192

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 22 11:52 EST 2019. Contains 319363 sequences. (Running on oeis4.)