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Search: id:A014070
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| 1, 2, 6, 56, 1820, 201376, 74974368, 94525795200, 409663695276000, 6208116950265950720, 334265867498622145619456, 64832175068736596027448301568, 45811862025512780638750907861652480
(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 the number of n X n (0,1) matrices with distinct rows modulo rows permutations . - Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 13 2003
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FORMULA
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G.f.: A(x) = Sum_{n>=0} log(1 + 2^n*x)^n / n!. - Paul D. Hanna (pauldhanna(AT)juno.com), Dec 28 2007
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PROGRAM
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(PARI) a(n)=binomial(2^n, n) (PARI) /* G.f. A(x) as Sum of Series: */ {a(n)=polcoeff(sum(k=0, n, log(1+2^k*x +x*O(x^n))^k/k!), n)} - Paul D. Hanna (pauldhanna(AT)juno.com), Dec 28 2007
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CROSSREFS
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Cf. A088229.
Adjacent sequences: A014067 A014068 A014069 this_sequence A014071 A014072 A014073
Sequence in context: A084123 A074023 A000146 this_sequence A132525 A074167 A083787
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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