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%I #41 Aug 28 2023 08:20:58
%S 96,192,330,504,840,1304,1872,2910,3971,5340,6851,8932,11700,14496,
%T 18258,22410,27265,32620,39606,47124,55545,65448,76050,87854,101925,
%U 116956,134125,152340,173538,195424,220473,246942,276570,306756,340918,377644,418821,462720
%N a(n) is the smallest number which can be represented as the sum of n distinct centered n-gonal numbers in exactly n ways, or -1 if no such number exists.
%C If a(n) exists, then n divides a(n). - _Thomas Scheuerle_, Apr 13 2022
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CenteredPolygonalNumber.html">Centered Polygonal Number</a>
%F a(n) >= n*binomial(n + 2, 3) + n, if a(n) exists. - _Thomas Scheuerle_, Apr 13 2022
%e For n = 3: 96 = 1 + 10 + 85 = 1 + 31 + 64 = 19 + 31 + 46.
%Y Cf. A101321, A350209, A350397, A350405.
%K nonn
%O 3,1
%A _Ilya Gutkovskiy_, Apr 13 2022
%E a(10)-a(16) from _Thomas Scheuerle_, Apr 13 2022
%E a(17)-a(40) from _Michael S. Branicky_, May 19 2022
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