cp's OEIS Frontend

A374371 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.

%I A374371 #5 Jul 07 2024 13:51:09
%S A374371 4,36,16,10045,2850,6426,1408,265926,69300,79135,9504,195615,145236,
%T A374371 126630,42120,81356859,9410205,165550,1379840,11340,3009069,
%U A374371 8321351148,316200,47555937,218338146,9042726,822528,12300400,300186051,46955700,766737400,206898615
%N A374371 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 A374371 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 A374371    n |          a(n)
%e A374371   ---+---------------------------
%e A374371    2 |          4 = 2*2
%e A374371    3 |         36 = 6*6
%e A374371    4 |         16 = 4*4
%e A374371    5 |      10045 = 35*287
%e A374371    6 |       2850 = 15*190
%e A374371    7 |       6426 = 34*189
%e A374371    8 |       1408 = 8*176
%e A374371    9 |     265926 = 46*5781
%e A374371   10 |      69300 = 10*6930
%e A374371   11 |      79135 = 95*833
%e A374371   12 |       9504 = 33*288
%e A374371   13 |     195615 = 115*1701
%e A374371   14 |     145236 = 14*10374
%e A374371   15 |     126630 = 15*42*201
%e A374371   16 |      42120 = 45*936
%e A374371   17 |   81356859 = 549*148191
%e A374371   18 |    9410205 = 343*27435
%e A374371   19 |     165550 = 175*946
%e A374371   20 |    1379840 = 20*68992
%e A374371   21 |      11340 = 21*540
%e A374371   22 |    3009069 = 427*7047
%e A374371   23 | 8321351148 = 23*66*5481786
%e A374371   24 |     316200 = 136*2325
%e A374371   25 |   47555937 = 351*135487
%e A374371   26 |  218338146 = 26*8397621
%e A374371   27 |    9042726 = 154*58719
%e A374371   28 |     822528 = 28*29376
%e A374371   29 |   12300400 = 764*16100
%e A374371   30 |  300186051 = 13051*23001
%e A374371   31 |   46955700 = 3060*15345
%e A374371   32 |  766737400 = 5720*134045
%e A374371   33 |  206898615 = 12615*16401
%Y A374371 Second column of A374370.
%Y A374371 Cf. A057145.
%K A374371 nonn
%O A374371 2,1
%A A374371 _Pontus von Brömssen_, Jul 07 2024