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A321500
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Triangular table T(n,k) = (n+k)*(n^2+k^2), n >= k >= 0; read by rows n = 0, 1, 2, ...
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4
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0, 1, 4, 8, 15, 32, 27, 40, 65, 108, 64, 85, 120, 175, 256, 125, 156, 203, 272, 369, 500, 216, 259, 320, 405, 520, 671, 864, 343, 400, 477, 580, 715, 888, 1105, 1372, 512, 585, 680, 803, 960, 1157, 1400, 1695, 2048
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history;
text;
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OFFSET
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0,3
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LINKS
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FORMULA
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EXAMPLE
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The table starts:
n | T(n,k), k = 0..n:
0 | 0;
1 | 1, 4;
2 | 8, 15, 32;
3 | 27, 40, 65, 108;
4 | 64, 85, 120, 175, 256;
5 | 125, 156, 203, 272, 369, 500;
6 | 216, 259, 320, 405, 520, 671, 864;
7 | 343, 400, 477, 580, 715, 888, 1105, 1372;
8 | 512, 585, 680, 803, 960, 1157, 1400, 1695, 2048;
etc.
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MATHEMATICA
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t[n_, k_] := (n + k) (n^2 + k^2); Table[t[n, k], {n, 0, 10}, {k, 0, n}] // Flatten (* Amiram Eldar, Nov 22 2018 *)
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PROG
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(PARI) A321500(n, k)=(n+k)*(n^2+k^2)
A321500_row(n)=vector(n+1, k, (n+k--)*(n^2+k^2))
(Magma) [[(n+k)*(n^2+k^2): k in [0..n]]: n in [0..12]]; // G. C. Greubel, Nov 23 2018
(Sage) [[(n+k)*(n^2+k^2) for k in range(n+1)] for n in range(12)] # G. C. Greubel, Nov 23 2018
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CROSSREFS
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Cf. A198063 (read as A(n,k)=(n+k)*(n^2+k^2)).
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KEYWORD
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AUTHOR
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STATUS
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approved
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