%I #14 Jan 24 2023 10:08:45
%S 6,11,12,14,18,19,20,22,23,25,26,30,31,35,36,37,38,39,40,41,43,44,45,
%T 46,47,48,50,51,52,53,55,56,57,58,60,61,62,63,64,65,67,69,70,71,73,74,
%U 75,76,77,78,82,83,84,87,88,89,90,91,92,93,94,97,98,100,101,103,104,105,106,107,108
%N Numbers n such that n! is not the sum of two nonnegative triangular numbers.
%C Up to 300 these are also terms: 110, 111, 112, 113, 115, 116, 117, 119, 120, 121, 122, 123, 124, 127, 128, 130, 132, 136, 137, 138, 142, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 166, 167, 168, 169, 170, 172, 174, 175, 176, 177, 179, 180, 181, 182, 183, 185, 186, 187, 188, 191, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 213, 214, 215, 216, 218, 223, 225, 226, 227, 228, 229, 230, 231, 232, 236, 237, 238, 239, 240, 241, 243, 245, 246, 247, 249, 250, 251, 253, 255, 256, 257, 258, 260, 261, 262, 263, 265, 266, 267, 269, 270, 271, 272, 273, 274, 276, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 294, 295, 297, 298. - G. Guninski, Oct 12 2010
%H Factor Database, <a href="http://factordb.com/index.php?query=4*z%21%2B1&perpage=200">Factors of the numbers 4z!+1</a>
%H Factor Database, <a href="http://factordb.com/index.php?query=4*n!%2B1&use=n&n=1&VP=on&VC=on&EV=on&OD=on&PR=on&FF=on&PRP=on&CF=on&U=on&C=o!">Factors</a> [From G. Guninski, Oct 12 2010]
%H G. Guninski, <a href="http://stefan.guninski.com/seq/guyres2.txt">Factors</a>
%H R. K. Guy et al., <a href="/A152089/a152089.pdf">Emails about A152089</a>
%Y Complement of A180590.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Sep 24 2010
%E 69 added by _N. J. A. Sloane_, Sep 24 2010 using the data from the Factor Database web site.
%E Further terms from G. Guninski and _D. S. McNeil_, Sep 24 2010
%E Terms from 93 on from G. Guninski, Oct 12 2010