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A283111
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Number of partitions of 2^n into n parts.
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1
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0, 1, 2, 5, 34, 480, 17180, 1652171, 461346215, 396507897335, 1093817527528804, 9967640563717565125, 306039783996035518230753, 32112037153481933712774822566, 11641561173234351448063113301394401
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..14.
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FORMULA
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a(n) = P(2^n,n), where P(x, y) is the number of partitions of x into y parts.
a(n) = A008284(2^n,n). - R. J. Mathar, Mar 10 2017
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MATHEMATICA
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a[n_] := SeriesCoefficient[1/Product[1 - x^k, {k, 1, n}], {x, 0, 2^n - n}]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 14}] (* Jean-François Alcover, Mar 01 2017 *)
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CROSSREFS
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Sequence in context: A307143 A052695 A184360 * A206830 A277436 A358688
Adjacent sequences: A283108 A283109 A283110 * A283112 A283113 A283114
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KEYWORD
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nonn,more
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AUTHOR
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Francois Alcover, Feb 28 2017
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STATUS
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approved
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