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Search: id:A052284
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| A052284 |
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Number of partitions of n into nonprime numbers. |
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+0
1
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| 1, 1, 1, 1, 2, 3, 5, 7, 11, 17, 27, 40, 61, 92, 142, 217, 333, 506, 774, 1181, 1807, 2758, 4215, 6434, 9833, 15019, 22948, 35047, 53541, 81780, 124936, 190841, 291532, 445320, 680274, 1039155, 1587405, 2424849, 3704148, 5658321, 8643530
(list; graph; listen)
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OFFSET
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0,5
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..500
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FORMULA
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G.f.: Product 1/(1-x^m); m equals the nonprimes.
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EXAMPLE
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a(6) = 3 because 1+1+1+1+1+1 = 1+1+4 = 6.
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MATHEMATICA
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NonPrime[n_] := FixedPoint[n + PrimePi[ # ] &, n + PrimePi[n]]; CoefficientList[ Series[1 /(1 - Sum[x^NonPrime[i], {i, 1, 45}]), {x, 0, 45}], x]
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CROSSREFS
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Cf. A000041 & A023360.
Adjacent sequences: A052281 A052282 A052283 this_sequence A052285 A052286 A052287
Sequence in context: A018058 A002379 A072465 this_sequence A133670 A127272 A113192
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), May 16 2002
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