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Search: id:A035592
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| A035592 |
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Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3). |
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+0
2
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| 1, 2, 6, 14, 32, 66, 134, 256, 480, 868, 1540, 2664, 4536, 7574, 12474, 20234, 32428, 51324, 80388, 124582, 191310, 291114, 439394, 657936, 978054, 1443684, 2117136, 3085174, 4469368, 6437742, 9223324, 13145792, 18644484, 26317916, 36981828
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = A035536(3n).
G.f.: (Sum_{k>=0} (-1)^k*x^(k(k+1)/2))/(Product_{k>0} 1-x^k)^3. - Michael Somos, Jul 28 2003
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PROGRAM
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(PARI) a(n)=if(n<0, 0, polcoeff(sum(k=0, (sqrtint(1+8*n)-1)\2, (-1)^k*x^((k+k^2)/2))/eta(x+x*O(x^n))^3, n))
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CROSSREFS
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Sequence in context: A059076 A002524 A055292 this_sequence A096238 A074878 A065495
Adjacent sequences: A035589 A035590 A035591 this_sequence A035593 A035594 A035595
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KEYWORD
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nonn
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net)
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