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A114002 Expansion of g.f. x^k(1+x^(k+1))/(1-x^(k+1)). 3
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Inverse is A114004. Row sums are A114003.
LINKS
FORMULA
Column k has g.f. x^k(1+x^(k+1))/(1-x^(k+1)).
Equals 2*A051731 - I, I = Identity matrix. - Gary W. Adamson, Nov 07 2007
EXAMPLE
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;
...
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A127442 A357524 A115628 * A114004 A306518 A333310
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Nov 12 2005
STATUS
approved

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Last modified March 19 07:41 EDT 2024. Contains 370958 sequences. (Running on oeis4.)