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Search: id:A103364
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A103364 Matrix inverse of the Narayana triangle A001263. +0
5
1, -1, 1, 2, -3, 1, -7, 12, -6, 1, 39, -70, 40, -10, 1, -321, 585, -350, 100, -15, 1, 3681, -6741, 4095, -1225, 210, -21, 1, -56197, 103068, -62916, 19110, -3430, 392, -28, 1, 1102571, -2023092, 1236816, -377496, 68796, -8232, 672, -36, 1, -27036487, 49615695, -30346380, 9276120, -1698732, 206388 (list; table; graph; listen)
OFFSET

1,4

COMMENT

The first column is A103365. The second column is A103366. Row sums are all zeros (for n>1). Absolute row sums form A103367.

EXAMPLE

Rows begin:

[1],

[ -1,1],

[2,-3,1],

[ -7,12,-6,1],

[39,-70,40,-10,1],

[ -321,585,-350,100,-15,1],

[3681,-6741,4095,-1225,210,-21,1],

[ -56197,103068,-62916,19110,-3430,392,-28,1],

[1102571,-2023092,1236816,-377496,68796,-8232,672,-36,1],...

PROGRAM

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

CROSSREFS

Cf. A001263, A103365, A103366, A103367.

Sequence in context: A101175 A050512 A107102 this_sequence A104027 A097710 A109198

Adjacent sequences: A103361 A103362 A103363 this_sequence A103365 A103366 A103367

KEYWORD

sign,tabl

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Feb 02 2005

page 1

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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