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Search: id:A050983
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| 1, 14, 786, 61340, 5562130, 549676764, 57440496036, 6242164112184, 698300344311570, 79881547652046140, 9301427008157320036, 1098786921802152516024, 131361675994216221116836
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n) is divisible by (n+1). Prime p divides a(p-1). Prime p>2 divides all a(n) from a((p+1)/2) to a(p-1). - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 05 2006
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(n)=sum(k=-n, +n, (-1)^k*binomial(2*n, n+k)^4) - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 02 2005
a(n) = (-1)^n * HypergeometricPFQ[ {-2n, -2n, -2n, -2n}, {1, 1, 1}, -1]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 05 2006
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MATHEMATICA
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Sum[ (-1)^(k+n)Binomial[ 2n, k ]^4, {k, 0, 2n} ]
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CROSSREFS
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Cf. A000984, A006480, A050984.
Sequence in context: A139196 A103426 A042519 this_sequence A002429 A064345 A115458
Adjacent sequences: A050980 A050981 A050982 this_sequence A050984 A050985 A050986
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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