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Search: id:A103367
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| A103367 |
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Absolute row sums of triangle A103364, which equals the matrix inverse of the Narayana triangle (A001263). |
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+0
4
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| 1, 2, 6, 26, 160, 1372, 15974, 245142, 4817712, 118198568, 3542890648, 127417949496, 5415490994368, 268526379444104, 15363229400769566, 1004545432884250126, 74441340170270921952, 6205992783298302119536
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OFFSET
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2,2
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COMMENT
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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...
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PROGRAM
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(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]))}
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CROSSREFS
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Cf. A001263, A103364, A103365, A103366.
Sequence in context: A099760 A112934 A135922 this_sequence A047863 A141713 A005272
Adjacent sequences: A103364 A103365 A103366 this_sequence A103368 A103369 A103370
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Feb 02 2005
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