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a(n) is the smallest positive integer which can be represented as the sum of distinct centered square numbers in exactly n ways, or 0 if no such integer exists.
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%I #5 Feb 16 2025 08:34:02

%S 1,66,127,151,277,212,296,325,404,332,373,440,452,458,445,464,530,505,

%T 586,572,553,578,525,637,613,632,625,626,650,692,674,638,705,686,734,

%U 710,698,789,777,745,771,817,794,746,850,770,758,847,972,908

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

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredSquareNumber.html">Centered Square Number</a>

%Y Cf. A001844, A097563, A281082, A350195, A350203.

%K nonn,changed

%O 1,2

%A _Ilya Gutkovskiy_, Dec 19 2021