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A114002
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Expansion of g.f. x^k(1+x^(k+1))/(1-x^(k+1)).
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3
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1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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Column k has g.f. x^k(1+x^(k+1))/(1-x^(k+1)).
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EXAMPLE
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Triangle begins:
1;
2, 1;
2, 0, 1;
2, 2, 0, 1;
2, 0, 0, 0, 1;
2, 2, 2, 0, 0, 1;
2, 0, 0, 0, 0, 0, 1;
...
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MATHEMATICA
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T[n_, k_]:=SeriesCoefficient[x^k(1+x^(k+1))/(1-x^(k+1)), {x, 0, n}]; Table[T[n, k], {n, 0, 13}, {k, 0, n}] //Flatten (* Stefano Spezia, Sep 08 2023 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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