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A130265 Triangle read by rows: matrix product A007318 * A051340. 1
1, 2, 2, 4, 5, 3, 8, 10, 10, 4, 16, 19, 23, 17, 5, 32, 36, 46, 46, 26, 6, 64, 69, 87, 102, 82, 37, 7, 128, 134, 162, 204, 204, 134, 50, 8, 256, 263, 303, 387, 443, 373, 205, 65, 9, 512, 520, 574, 718, 886, 886, 634, 298, 82, 10, 1024, 1033, 1103 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..58.

FORMULA

Binomial transform of A051340, = A007318 * the infinite lower triangular matrix (1; 1,2; 1,1,3;...).

EXAMPLE

First few rows of the triangle are:

1;

2, 2;

4, 5, 3;

8, 10, 10, 4;

16, 19, 23, 17, 5;

32, 36, 46, 46, 26, 6;

64, 69, 87, 102, 82, 37, 7;

...

MAPLE

A051340 := proc(n, k)

    if k = n then

        n+1 ;

    elif k <= n then

        1;

    else

        0;

    end if;

end proc:

A130265 := proc(n, k)

    add( binomial(n, j)*A051340(j, k), j=k..n) ;

end proc:

seq(seq(A130265(n, k), k=0..n), n=0..15) ; # R. J. Mathar, Aug 06 2016

CROSSREFS

Cf. A051340, A007318, A001787 (row sums).

Sequence in context: A242348 A186053 A133082 * A187214 A179821 A292272

Adjacent sequences:  A130262 A130263 A130264 * A130266 A130267 A130268

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 18 2007

EXTENSIONS

Missing term inserted by R. J. Mathar, Aug 06 2016

STATUS

approved

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Last modified May 12 10:54 EDT 2021. Contains 343821 sequences. (Running on oeis4.)