cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A283260 Product of the products of elements of all the nonempty subsets of the sets of numbers from 1 to n.

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%I A283260 #17 Oct 21 2017 20:14:16
%S A283260 1,4,1296,110075314176,1848842588950364160000000000000000,
%T A283260 27204445973673520186989292010512474445356561349778469394841600000000000000000000000000000000
%N A283260 Product of the products of elements of all the nonempty subsets of the sets of numbers from 1 to n.
%C A283260 a(7) has 237 digits.
%H A283260 N. J. A. Sloane, <a href="/A283260/b283260.txt">Table of n, a(n) for n = 1..8</a>
%F A283260 a(n) = (n!)^(2^(n-1)).
%e A283260 Rows with nonempty subsets of the sets of numbers from 1 to n:
%e A283260 {1};
%e A283260 {1}, {2}, {1, 2};
%e A283260 {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3};
%e A283260 ...
%e A283260 Rows with the products of elements of these subsets:
%e A283260 1;
%e A283260 1, 2, 2;
%e A283260 1, 2, 3, 2, 3, 6, 6;
%e A283260 ...
%e A283260 a(1) = (1), a(2) = (1*2*2) = 4, a(3) = (1*2*3*2*3*6*6) = 1296, ...
%o A283260 (PARI) a(n)=n!^2^(n-1) \\ _Charles R Greathouse IV_, Mar 06 2017
%Y A283260 Cf. A000225, A001788, A033312, A067174, A229338, A283261.
%K A283260 nonn,easy
%O A283260 1,2
%A A283260 _Jaroslav Krizek_, Mar 04 2017