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A234570
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7*binomial(10*n+7,n)/(10*n+7).
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9
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1, 7, 91, 1470, 26565, 514206, 10426416, 218618940, 4701550770, 103134123820, 2298706645235, 51909777109596, 1185134654128425, 27309853977084000, 634361032466470620, 14837590383963667320, 349163392095422769942, 8260872214482785042145, 196380752260155290992675
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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), where p=10, r=7.
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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=10, r=7.
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MATHEMATICA
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Table[7 Binomial[10 n + 7, n]/(10 n + 7), {n, 0, 30}]
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PROG
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(PARI) a(n) = 7*binomial(10*n+7, n)/(10*n+7);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(10/7))^7+x*O(x^n)); polcoeff(B, n)}
(Magma) [7*Binomial(10*n+7, n)/(10*n+7): 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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