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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
OFFSET
1,2
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
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Sep 02 2007
STATUS
approved