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1, 4, 100, 3136, 119716, 5071504, 230553856, 11016601600, 546360462244, 27888242788624, 1456587070867600, 77515424509446400, 4189899499315360000, 229472379264509977600, 12709952101698593689600, 710863065714510068187136
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see page 191.
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LINKS
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FORMULA
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P-recursive: P(n-1)*n^4*a(n) = P(n)*Q(n)*a(n-1) + 8*P(n-1)*Q(n)*a(n-2) - 512*P(n)*(n-2)^4*a(n-3), where P(n) = 7*n^2 - 7*n + 2 and Q(n) = 57*n^4 - 228*n^3 + 321*n^2 - 186*n + 40 with a(0) = 1, a(1) = 4 and a(2) = 100. - Peter Bala, Feb 01 2024
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MATHEMATICA
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A052144[n_] := HypergeometricPFQ[{-n, -n, -n}, {1, 1}, -1]^2;
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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