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A042956 The sequence d when b=[ 1,1,1,0,1,1,.. ]. +0
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1, 4, 5, 8, 9, 10, 13, 14, 16, 17, 19, 20, 21, 24, 25, 26, 27, 28, 30, 31, 34, 35, 36, 40, 41, 47, 48, 52, 56, 59, 60, 61, 63, 64, 70, 72, 73, 78 (list; graph; listen)
OFFSET

0,2

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: A107758 A104883 A154885 this_sequence A128217 A042948 A126001

Adjacent sequences: A042953 A042954 A042955 this_sequence A042957 A042958 A042959

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 December 2 11:54 EST 2009. Contains 167921 sequences.


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