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A007190 Multiplicative encoding of Stirling numbers of 2nd kind.
(Formerly M1724)
0

%I M1724 #20 Apr 20 2022 09:57:39

%S 2,6,270,478406250,26574922713477178215980529785156250

%N Multiplicative encoding of Stirling numbers of 2nd kind.

%D 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.

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

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

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

%H N. J. A. Sloane, <a href="https://doi.org/10.37236/1194">An on-line version of the Encyclopedia of Integer Sequences</a>, Electronic J. Combinatorics, Vol. 1, no. 1, 1994.

%F a(n) = Product_{k=1..n} prime(n)^Stirling2(n, k). - _Sean A. Irvine_, Nov 15 2017

%o (PARI) a(n) = prod(k=1, n, prime(n)^stirling(n,k,2)); \\ _Michel Marcus_, Apr 20 2022

%Y Cf. A000040, A008277.

%K nonn

%O 1,1

%A _N. J. A. Sloane_.

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Last modified April 25 13:33 EDT 2024. Contains 371971 sequences. (Running on oeis4.)