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A133601 A007318 * (A097806 + A133080 - I), I = Identity matrix. 2
1, 3, 1, 5, 3, 1, 7, 6, 5, 1, 9, 10, 14, 5, 1, 11, 15, 30, 15, 7, 1, 13, 21, 55, 35, 27, 7, 1, 15, 28, 91, 70, 77, 28, 9, 1, 17, 36, 140, 126, 182, 84, 44, 9, 1, 19, 45, 204, 210, 378, 210, 156, 45, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

A007318 * (A097806 + A133080 - I), I = Identity matrix. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and (2,1,2,1,2,...) in the subdiagonal; and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1;

3, 1;

5, 3, 1;

7, 6, 5, 1;

9, 10, 14, 5, 1;

11, 15, 30, 15, 7, 1;

13, 21, 55, 35, 27, 7, 1;

15, 28, 91, 70, 77, 28, 9, 1;

...

MAPLE

A133601aux := proc(n, k)

    if n <> k then

        A097806(n, k)+A133080(n, k) ;

    else

        A097806(n, k)+A133080(n, k)-1 ;

    end if;

end proc:

A133601 := proc(n, k)

    add( A007318(n, j)*A133601aux(j+1, k+1), j=k..n) ;

end proc: # R. J. Mathar, Jun 20 2015

CROSSREFS

Cf. A097806, A133080, A052549 (row sums).

Sequence in context: A084305 A099375 A130301 * A258207 A133094 A300437

Adjacent sequences:  A133598 A133599 A133600 * A133602 A133603 A133604

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 18 2007

STATUS

approved

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Last modified October 23 17:18 EDT 2019. Contains 328373 sequences. (Running on oeis4.)