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A158829
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Antidiagonal sums of square array A158825, in which row n lists the coefficients of the n-th iteration of x*C(x), where C(x) is the Catalan function (A000108).
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4
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1, 1, 2, 5, 15, 52, 202, 861, 3972, 19648, 103500, 577443, 3396804, 20988116, 135770140, 916936351, 6449233093, 47137434787, 357331341987, 2804582808108, 22754919576652, 190578011064394, 1645490708244886, 14629351150837605
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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PROG
| (PARI) {a(n)=local(F=serreverse(x-x^2+O(x^(n+1))), G=x, ADS=0); for(k=1, n, G=x; for(i=1, n-k, G=subst(F, x, G)); ADS=ADS+polcoeff(G, k)); ADS}
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CROSSREFS
| Cf. A158825, A158826, A158827, A158828.
Sequence in context: A056272 A140980 A108304 * A110038 A056273 A141080
Adjacent sequences: A158826 A158827 A158828 * A158830 A158831 A158832
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Mar 28 2009
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