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A014608
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a(n) = (4n)!/(24^n).
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23
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1, 1, 70, 34650, 63063000, 305540235000, 3246670537110000, 66475579247327250000, 2390461829733887910000000, 140810154080474667338550000000, 12868639981414579848070084500000000, 1746930746117010628955362040959500000000
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OFFSET
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0,3
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COMMENTS
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a(n) is also the constant term in product 1 <= i,j <= n, i different from j (1 - x_i/x_j)^4. - Sharon Sela (sharonsela(AT)hotmail.com), Feb 16 2002
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REFERENCES
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George E. Andrews, Richard Askey and Ranjan Roy, Special Functions, Cambridge University Press, 1998.
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LINKS
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FORMULA
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Sum_{n>=0} 1/a(n) = (cos(2^(3/4)*3^(1/4)) + cosh(2^(3/4)*3^(1/4)))/2.
Sum_{n>=0} (-1)^n/a(n) = cos(6^(1/4))*cosh(6^(1/4)). (End)
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MATHEMATICA
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PROG
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(PARI) a(n)=(4*n)!/24^n;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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BjornE (mdeans(AT)algonet.se)
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STATUS
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approved
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