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A090676
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a(n) = round(n^3/12) - floor(n/4)*floor((n+2)/4).
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1
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0, 0, 1, 2, 4, 9, 16, 27, 39, 57, 77, 105, 135, 174, 217, 269, 325, 393, 466, 552, 642, 747, 857, 984, 1116, 1266, 1423, 1598, 1780, 1983, 2194, 2427, 2667, 2931, 3203, 3501, 3807, 4140, 4483, 4853, 5233, 5643, 6064, 6516, 6978, 7473, 7979, 8520, 9072, 9660, 10261
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OFFSET
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0,4
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COMMENTS
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An erroneous form of A005044 (n^3/12 should be n^2/12).
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REFERENCES
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G. E. Andrews, MacMahon's Partition Analysis II: Fundamental Theorems, Annals Combinatorics, 4 (2000), 327-338.
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LINKS
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MATHEMATICA
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Table[Round[n^3/12] - Floor[n/4]*Floor[(n + 2)/4], {n, 0, 50}] (* G. C. Greubel, Jun 26 2017 *)
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PROG
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(PARI) for(n=0, 25, print1(round(n^3/12) - floor(n/4)*floor((n+2)/4), ", ")) \\ G. C. Greubel, Jun 26 2017
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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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