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A233907
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9*binomial(7*n+9, n)/(7*n+9).
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6
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1, 9, 99, 1218, 16065, 222138, 3178140, 46656324, 698868216, 10639125640, 164128169205, 2560224004884, 40314178429707, 639948824981928, 10230035192533800, 164541833894991240, 2660919275605834701, 43239781879996449825, 705687913212419321800, 11561996402992103418000, 190100812111989146008641
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OFFSET
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0,2
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COMMENTS
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Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=7, r=9.
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LINKS
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FORMULA
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G.f. satisfies: B(x) = {1 + x*B(x)^(p/r)}^r, where p=7, r=9.
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MATHEMATICA
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Table[9 Binomial[7 n + 9, n]/(7 n + 9), {n, 0, 30}]
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PROG
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(PARI) a(n) = 9*binomial(7*n+9, n)/(7*n+9);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(7/9))^9+x*O(x^n)); polcoeff(B, n)}
(Magma) [9*Binomial(7*n+9, n)/(7*n+9): n in [0..30]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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