A132820 Row sums of triangle A132819.

1, 4, 16, 65, 266, 1092, 4488, 18447, 75790, 311168, 1276496, 5231954, 21425236, 87662200, 358374960, 1463921595, 5975446230, 24373220520, 99348849600, 404703270510, 1647594225420, 6703757163480

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