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Search: id:A113754
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| A113754 |
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Number of possible squares on an n^2 X n^2 grid. |
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+0
1
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| 1, 30, 285, 1496, 5525, 16206, 40425, 89440, 180441, 338350, 597861, 1005720, 1623245, 2529086, 3822225, 5625216, 8087665, 11389950, 15747181, 21413400, 28686021, 37910510, 49485305, 63866976, 81575625, 103200526, 129406005
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = n^2(n^2+1)(2n^2+1)/6
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EXAMPLE
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a(2)=30 because 4^2+3^2+2^2+1^2=30
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MAPLE
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seq((n^2)(n^2+1)(2n^2)/6, n=1..100)
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MATHEMATICA
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For[n = 1, n < 30, n++, Print[n^2(n^2 + 1)(2n^2 + 1)/6]] (Steinerberger)
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CROSSREFS
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Sequence in context: A126525 A053358 A163667 this_sequence A129029 A101381 A061605
Adjacent sequences: A113751 A113752 A113753 this_sequence A113755 A113756 A113757
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KEYWORD
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nonn
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AUTHOR
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Robin Hallett (hallettr(AT)uogueplh.ca), Jan 18 2006
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 21 2006
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