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A003996
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Sums of distinct nonzero squares in more than one way.
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0
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25, 26, 29, 30, 41, 45, 46, 49, 50, 53, 54, 61, 62, 65, 66, 69, 70, 74, 75, 77, 78, 79, 81, 82, 84, 85, 86, 87, 89, 90, 91, 93, 94, 95, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123
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OFFSET
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1,1
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COMMENTS
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The largest integer not in this sequence is 132. Proof based on Theorem 3 from M. J. Wiener link: All the numbers from 148+1 to 148+12^2 are the sum of distinct squares from {1^2,...,11^2} in more than one way (direct calculation). This range can be extended indefinitely by adding 12^2, 13^2, etc. Numbers between 132 and 148 confirmed from A033461. - Martin Fuller, Aug 28 2023
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LINKS
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FORMULA
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For n >= 65, a(n) = n + 68 (see comment). - Martin Fuller, Aug 28 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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