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A130126
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Number of partitions of n in which each even part has odd multiplicity.
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6
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1, 1, 2, 3, 4, 6, 10, 13, 17, 24, 33, 43, 58, 75, 98, 127, 161, 205, 262, 328, 414, 517, 641, 794, 982, 1205, 1475, 1803, 2197, 2664, 3230, 3896, 4693, 5640, 6754, 8077, 9647, 11479, 13637, 16178, 19152, 22624, 26695
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: product_{n=1..inf} (1+q^(2n)-q^(4n))/((1-q^(2n-1))(1-q^(4n))).
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EXAMPLE
| a(5)=6 because we have 5,41,32,311,2111 and 11111 (221 does not qualify).
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MAPLE
| g:=product((1+q^(2*n)-q^(4*n))/((1-q^(2*n-1))*(1-q^(4*n))), n=1..50): gser:= series(g, q=0, 45): seq(coeff(gser, q, n), n=0..42); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 24 2007
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CROSSREFS
| Cf. A131942.
Sequence in context: A069744 A181312 A061018 * A121152 A200928 A089223
Adjacent sequences: A130123 A130124 A130125 * A130127 A130128 A130129
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 01 2007
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 24 2007
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