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a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such integer exists.
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%I #7 Dec 20 2021 18:38:04

%S 25,65,144,305,456,622,731,1006,1434,1499,1711,1806,2446,2742,3001,

%T 3051,3544,3699,3962,4345,5362,5039,5756,5712,6251,6655,7399,7698,

%U 7591,8304,8673,9241,9362,9299,10312,10606,11121,10736,12113,12737,12934

%N a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such integer exists.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Number</a>

%Y Cf. A057145, A097563, A274046, A350196, A350197, A350198, A350199, A350209, A350210.

%K nonn

%O 3,1

%A _Ilya Gutkovskiy_, Dec 19 2021