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A103367 Absolute row sums of triangle A103364, which equals the matrix inverse of the Narayana triangle (A001263). 3
1, 2, 6, 26, 160, 1372, 15974, 245142, 4817712, 118198568, 3542890648, 127417949496, 5415490994368, 268526379444104, 15363229400769566, 1004545432884250126, 74441340170270921952, 6205992783298302119536 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 16 21:46 EST 2020. Contains 331975 sequences. (Running on oeis4.)