%I #5 Jul 07 2024 13:51:09
%S 4,36,16,10045,2850,6426,1408,265926,69300,79135,9504,195615,145236,
%T 126630,42120,81356859,9410205,165550,1379840,11340,3009069,
%U 8321351148,316200,47555937,218338146,9042726,822528,12300400,300186051,46955700,766737400,206898615
%N Least n-gonal number that can be written as a product of two or more smaller n-gonal numbers, or 0 if no such number exists.
%e For 2 <= n <= 33, the n-gonal number a(n) can be written as a product of smaller n-gonal numbers in the following ways:
%e n | a(n)
%e ---+---------------------------
%e 2 | 4 = 2*2
%e 3 | 36 = 6*6
%e 4 | 16 = 4*4
%e 5 | 10045 = 35*287
%e 6 | 2850 = 15*190
%e 7 | 6426 = 34*189
%e 8 | 1408 = 8*176
%e 9 | 265926 = 46*5781
%e 10 | 69300 = 10*6930
%e 11 | 79135 = 95*833
%e 12 | 9504 = 33*288
%e 13 | 195615 = 115*1701
%e 14 | 145236 = 14*10374
%e 15 | 126630 = 15*42*201
%e 16 | 42120 = 45*936
%e 17 | 81356859 = 549*148191
%e 18 | 9410205 = 343*27435
%e 19 | 165550 = 175*946
%e 20 | 1379840 = 20*68992
%e 21 | 11340 = 21*540
%e 22 | 3009069 = 427*7047
%e 23 | 8321351148 = 23*66*5481786
%e 24 | 316200 = 136*2325
%e 25 | 47555937 = 351*135487
%e 26 | 218338146 = 26*8397621
%e 27 | 9042726 = 154*58719
%e 28 | 822528 = 28*29376
%e 29 | 12300400 = 764*16100
%e 30 | 300186051 = 13051*23001
%e 31 | 46955700 = 3060*15345
%e 32 | 766737400 = 5720*134045
%e 33 | 206898615 = 12615*16401
%Y Second column of A374370.
%Y Cf. A057145.
%K nonn
%O 2,1
%A _Pontus von Brömssen_, Jul 07 2024