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A302302
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Number of triples (i,j,k) such that i+j+k > 0 with -n <= i,j,k <= n.
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0
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0, 10, 53, 153, 334, 620, 1035, 1603, 2348, 3294, 4465, 5885, 7578, 9568, 11879, 14535, 17560, 20978, 24813, 29089, 33830, 39060, 44803, 51083, 57924, 65350, 73385, 82053, 91378, 101384, 112095, 123535, 135728, 148698, 162469, 177065, 192510, 208828, 226043
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OFFSET
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0,2
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COMMENTS
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If we add the triples (i,j,k) such that i+j+k >= 0 then the corresponding numbers seem to be those of A130748.
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LINKS
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FORMULA
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a(n) = n*(3+9*n+8*n^2)/2.
G.f.: (x^2+13*x+10)*x/(x-1)^4.
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MATHEMATICA
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a[n_]:=Total[Flatten[Table[Table[Table[If[i+j+k>0, 1, 0], {i, -n, n}], {j, -n, n}], {k, -n, n}]]];
Table[a[n], {n, 0, 32}]
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PROG
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(PARI) a(n) = n*(3+9*n+8*n^2)/2; \\ Altug Alkan, Apr 08 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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