A164679 - OEIS

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A164679

Convolve A001399 with sequences which map to 2,3,5,7,11,13,17... A000040 then, by bending when needed, summarize the results in a triangular array.

1, 2, 1, 5, 4, 2, 10, 9, 7, 3, 19, 18, 16, 11, 4, 33, 32, 30, 25, 16, 5, 57

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OFFSET

1,2

COMMENTS

Apparently the terms can be constructed by fixing the generating function of the diagonal g_0(x) = 1/(1-x)/(1-x^2)/(1-x^3), A001399, and deriving the generating function of the i-th subdiagonal by g_i(x) = g_{i-1}(x)/(1-x^i), i>=1. - R. J. Mathar, May 17 2016

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

2, 1;

5, 4, 2;

10, 9, 7, 3;

19, 18, 16, 11, 4;

33, 32, 30, 25, 16, 5;

CROSSREFS

Cf. A000098 (first column), A164678 (a similar triangle). Diagonals are A001399, A000601, A097701, A117485, ...

Sequence in context: A227372 A359131 A164678 * A275183 A275131 A280513

Adjacent sequences: A164676 A164677 A164678 * A164680 A164681 A164682

KEYWORD

easy,nonn,tabl,uned

AUTHOR

Alford Arnold, Sep 05 2009

STATUS

approved