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A132820 Row sums of triangle A132819. 2
1, 4, 16, 65, 266, 1092, 4488, 18447, 75790, 311168, 1276496, 5231954, 21425236, 87662200, 358374960, 1463921595, 5975446230, 24373220520, 99348849600, 404703270510, 1647594225420, 6703757163480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Narayana transform (A001263) of the triangular series. - Gary W. Adamson, Jul 29 2011

EXAMPLE

a(4) = 65 = sum of row 4 terms of triangle A132819: (1 + 18 + 36 + 10).

a(4) = 65 = (1, 6, 6, 1) dot (1, 3, 6, 10) = (1 + 18 + 36 + 10).

MAPLE

A001263 := proc(n, k)

    if n <1 or k < 1 or k > n then

        0;

    else

        binomial(n-1, k-1)*binomial(n, k-1)/k ;

    end if;

end proc:

A132820 := proc(n)

    add( A001263(n, k)*A000217(k), k=1..n) ;

end proc: # R. J. Mathar, Apr 04 2012

CROSSREFS

Cf. A132819.

Sequence in context: A243872 A052927 A012781 * A165201 A026674 A099781

Adjacent sequences:  A132817 A132818 A132819 * A132821 A132822 A132823

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Sep 02 2007

STATUS

approved

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Last modified November 25 14:33 EST 2020. Contains 338624 sequences. (Running on oeis4.)