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A133093 A007318 * A097806 * A133080. 1
1, 3, 1, 6, 3, 1, 10, 6, 5, 1, 15, 10, 15, 5, 1, 21, 15, 35, 15, 7, 1, 28, 21, 70, 35, 28, 7, 1, 36, 28, 126, 70, 84, 28, 9, 1, 45, 36, 210, 126, 210, 84, 45, 9, 1, 55, 45, 330, 210, 462, 210, 165, 45, 11, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Row sums = A033484: (1, 4, 10, 22, 46, 94,...).

FORMULA

A007318 * A097806 * A133080 as infinite lower triangular matrices. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal, (2,1,2,1,...) in the subdiagonal and (1,0,1,0,...) in the subsubdiagonal.

EXAMPLE

First few rows of the triangle are:

1;

3, 1;

6, 3, 1;

10, 6, 5, 1;

15, 10, 15, 5, 1;

21, 15, 35, 15, 7, 1;

28, 21, 70, 35, 28, 7, 1;

...

CROSSREFS

Cf. A133080, A097806, A033484.

Sequence in context: A124928 A122432 A131110 * A065567 A100861 A131031

Adjacent sequences:  A133090 A133091 A133092 * A133094 A133095 A133096

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 09 2007

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Last modified February 15 13:09 EST 2012. Contains 205789 sequences.