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A103364
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Matrix inverse of the Narayana triangle A001263.
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4
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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; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| The first column is A103365. The second column is A103366. Row sums are all zeros (for n>1). Absolute row sums form A103367.
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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],...
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PROG
| (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])}
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CROSSREFS
| Cf. A001263, A103365, A103366, A103367.
Sequence in context: A101175 A050512 A107102 * A104027 A192363 A097710
Adjacent sequences: A103361 A103362 A103363 * A103365 A103366 A103367
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KEYWORD
| sign,tabl
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Feb 02 2005
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