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.

A301523 Integers which can be partitioned into two distinct factorials. 0! and 1! are not considered distinct.

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%I A301523 #31 Aug 25 2020 12:23:22
%S A301523 3,7,8,25,26,30,121,122,126,144,721,722,726,744,840,5041,5042,5046,
%T A301523 5064,5160,5760,40321,40322,40326,40344,40440,41040,45360,362881,
%U A301523 362882,362886,362904,363000,363600,367920,403200,3628801,3628802,3628806,3628824,3628920,3629520,3633840,3669120,3991680
%N A301523 Integers which can be partitioned into two distinct factorials. 0! and 1! are not considered distinct.
%C A301523 Numbers of the form i! + j! where i > j > 0. - _Altug Alkan_, Mar 23 2018
%C A301523 Primes in this sequence are A088332(n) for n > 1.
%H A301523 Seiichi Manyama, <a href="/A301523/b301523.txt">Table of n, a(n) for n = 1..10000</a>
%e A301523     + |   1    2    6   24
%e A301523   ----+--------------------
%e A301523     1 |
%e A301523     2 |   3;
%e A301523     6 |   7,   8;
%e A301523    24 |  25,  26,  30;
%e A301523   120 | 121, 122, 126, 144;
%t A301523 Union[Total/@Subsets[Range[10]!,{2}]] (* _Harvey P. Dale_, Aug 25 2020 *)
%Y A301523 Cf. A000142, A001048, A038507, A059590, A088332, A301593.
%K A301523 nonn
%O A301523 1,1
%A A301523 _Seiichi Manyama_, Mar 23 2018