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A096258
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Number of partitions of n into distinct nonprime parts.
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3
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1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 2, 2, 3, 4, 5, 5, 4, 6, 8, 8, 9, 11, 11, 13, 16, 17, 19, 22, 23, 27, 31, 32, 36, 43, 47, 52, 57, 61, 70, 80, 84, 93, 105, 114, 127, 141, 150, 167, 188, 202, 220, 244, 264, 291, 322, 346, 377, 416, 450, 493, 540, 580, 633, 696, 750, 814, 888
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,10
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FORMULA
| G.f.: Product_{i>0} (1+x^i)/(1+x^prime(i)).
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MATHEMATICA
| CoefficientList[ Series[ Product[(1 + x^n)/(1 + x^Prime[n]), {n, 70}], {x, 0, 67}], x] (from Robert G. Wilson v Aug 02 2004)
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PROG
| (Haskell)
a096258 = p a018252_list where
p _ 0 = 1
p (k:ks) m = if m < k then 0 else p ks (m - k) + p ks m
-- Reinhard Zumkeller, Jan 15 2012
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CROSSREFS
| Cf. A002095.
Cf. A204389.
Sequence in context: A109337 A137266 A062948 * A049879 A053812 A177865
Adjacent sequences: A096255 A096256 A096257 * A096259 A096260 A096261
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 31 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 02 2004
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