A133935 - OEIS

A133935

A007318 * A093178 as a diagonalized matrix.

1, 1, 1, 1, 2, 3, 1, 3, 9, 1, 1, 4, 18, 4, 5, 1, 5, 30, 10, 25, 1, 1, 6, 45, 20, 75, 6, 7, 1, 7, 63, 35, 175, 21, 49, 1, 1, 8, 84, 56, 350, 56, 196, 8, 9, 1, 9, 108, 84, 630, 126, 588, 36, 81, 1

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OFFSET

0,5

COMMENTS

Row sums = A133936: (1, 2, 6, 14, 32, 72, 160, ...).

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Binomial transform of an infinite lower triangular matrix with A093178: (1, 1, 3, 1, 5, 1, 7, ...) in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle:

1, 1;

1, 2, 3;

1, 3, 9, 1;

1, 4, 18, 4, 5;

1, 5, 30, 10, 25, 1;

1, 6, 45, 20, 75, 6, 7;

1, 7, 63, 35, 175, 21, 49, 1;

...

CROSSREFS

Cf. A093178, A133936.

Sequence in context: A226513 A058127 A244490 * A139633 A208330 A152440

Adjacent sequences: A133932 A133933 A133934 * A133936 A133937 A133938

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 29 2007

STATUS

approved