A301523 - OEIS

%I #31 Aug 25 2020 12:23:22

%S 3,7,8,25,26,30,121,122,126,144,721,722,726,744,840,5041,5042,5046,

%T 5064,5160,5760,40321,40322,40326,40344,40440,41040,45360,362881,

%U 362882,362886,362904,363000,363600,367920,403200,3628801,3628802,3628806,3628824,3628920,3629520,3633840,3669120,3991680

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

%C Numbers of the form i! + j! where i > j > 0. - _Altug Alkan_, Mar 23 2018

%C Primes in this sequence are A088332(n) for n > 1.

%H Seiichi Manyama, <a href="/A301523/b301523.txt">Table of n, a(n) for n = 1..10000</a>

%e     + |   1    2    6   24

%e   ----+--------------------

%e     1 |

%e     2 |   3;

%e     6 |   7,   8;

%e    24 |  25,  26,  30;

%e   120 | 121, 122, 126, 144;

%t Union[Total/@Subsets[Range[10]!,{2}]] (* _Harvey P. Dale_, Aug 25 2020 *)

%Y Cf. A000142, A001048, A038507, A059590, A088332, A301593.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Mar 23 2018