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A042960 The sequence d when b is obtained by reversing the parity of Euler's partition function A000041. +0
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2, 4, 9, 15, 16, 18, 21, 22, 27, 28, 30, 31, 34, 35, 36, 41, 44 (list; graph; listen)
OFFSET

0,1

COMMENT

Map a binary sequence b=[ b_1,... ] to a binary sequence c=[ c_1,... ] so that C=1/Product((1-x^i)^c_i == 1+Sum b_i*x^i mod 2.

This produces 2 new sequences: d={i:c_i=1} and e=[ 1,e_1,... ] where C=1+Sum e_i*x^i.

CROSSREFS

Sequence in context: A119637 A113862 A036277 this_sequence A045975 A058296 A022948

Adjacent sequences: A042957 A042958 A042959 this_sequence A042961 A042962 A042963

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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