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A187920
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Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*x^n), where o.g.f. A(x) satisfies A(x)=(1+x*A(x)^3)/(1-x*A(x)^3),
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0
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1, 2, 1, 14, 4, 1, 134, 32, 6, 1, 1482, 324, 54, 8, 1, 17818, 3696, 578, 80, 10, 1, 226214, 45316, 6810, 904, 110, 12, 1, 2984206, 583152, 85278, 11008, 1310, 144, 14, 1, 40503890, 7769348, 1113854, 140936, 16490, 1804, 182, 16, 1, 561957362, 106250144, 15004746, 1870352, 216002, 23472, 2394, 224, 18, 1
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OFFSET
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1,2
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LINKS
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FORMULA
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T(n,k):=k/(3*n-2*k)*sum(i=0..n-k, binomial(3*n-2*k,n-k-i)*binomial(3*n-2*k+i-1,3*n-2*k-1)), n>=k>0.
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PROG
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(Maxima)
T(n, k):=k/(3*n-2*k)*sum(binomial(3*n-2*k, n-k-i)*binomial(3*n-2*k+i-1, 3*n-2*k-1), i, 0, n-k);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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