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A102437 Let pi be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones. +0
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1, 1, 1, 3, 3, 5, 9, 10, 14, 22, 28, 37, 53, 66, 85, 120, 147, 188, 252, 308, 394, 509, 621, 783, 990, 1210, 1500, 1872, 2272, 2793, 3447, 4152, 5064, 6184, 7414, 8984, 10856, 12964, 15592, 18711, 22250, 26576, 31690, 37520 (list; graph; listen)
OFFSET

1,4

EXAMPLE

a(5)=3 because there are 3 partitions of 5 with an odd number of binary ones in their binary representation, namely: 11+10, 10+10+1 and 1+1+1+1+1.

CROSSREFS

Sequence in context: A141584 A136791 A091916 this_sequence A072706 A117433 A159284

Adjacent sequences: A102434 A102435 A102436 this_sequence A102438 A102439 A102440

KEYWORD

nonn

AUTHOR

David Newman (DavidSNewman(AT)hotmail.com), Feb 23 2005

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 23 2005

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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