A103367 - OEIS

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A103367

Absolute row sums of triangle A103364, which equals the matrix inverse of the Narayana triangle (A001263).

1, 2, 6, 26, 160, 1372, 15974, 245142, 4817712, 118198568, 3542890648, 127417949496, 5415490994368, 268526379444104, 15363229400769566, 1004545432884250126, 74441340170270921952, 6205992783298302119536

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OFFSET

2,2

COMMENTS

The ratio of the absolute row sum to the absolute value of column 1 for row n of triangle A103364, as n grows, approaches the limit given by limit_{n->inf} Sum_{k=1,n} |A103364(n,k)| / |A103365(n)| = 4.37281937295201487280058335227924496590808747668123198019676685492873...

LINKS

Table of n, a(n) for n=2..19.

PROG

(PARI) {a(n)=if(n<1, 0, sum(k=1, n, abs(matrix(n, n, m, j, binomial(m-1, j-1)*binomial(m, j-1)/j)^-1)[n, k]))}

CROSSREFS

Cf. A001263, A103364, A103365, A103366.

Sequence in context: A112934 A135922 A213430 * A047863 A180349 A141713

Adjacent sequences: A103364 A103365 A103366 * A103368 A103369 A103370

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 02 2005

STATUS

approved