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A042952 The sequence d when b=[ 1,0,1,1,1,.. ]. +0
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1, 2, 3, 4, 5, 6, 7, 9, 12, 13, 17, 18, 19, 21, 25, 27, 30, 31, 32, 35, 38, 41, 42, 47, 50, 54, 59, 61, 62, 63, 68, 73, 76, 78, 80 (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: A005577 A072966 A059759 this_sequence A126327 A098132 A017900

Adjacent sequences: A042949 A042950 A042951 this_sequence A042953 A042954 A042955

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 27 14:50 EST 2009. Contains 167570 sequences.


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