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A007190
Multiplicative encoding of Stirling numbers of 2nd kind.
(Formerly M1724)
0
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
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
Sequence in context: A052342 A199125 A232696 * A164829 A028337 A215293
KEYWORD
nonn
AUTHOR
STATUS
approved