A042958 - OEIS

A042958

The sequence d when b=[ 1,1,1,1,0,1,1,1,.. ].

1, 5, 6, 10, 11, 12, 16, 17, 20, 21, 23, 24, 26, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 69, 70, 72, 73, 74, 75, 77, 78

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OFFSET

0,2

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..45.

CROSSREFS

Sequence in context: A340325 A247561 A273401 * A265188 A163903 A074627

Adjacent sequences: A042955 A042956 A042957 * A042959 A042960 A042961

KEYWORD

nonn

AUTHOR

N. J. A. Sloane and J. H. Conway

STATUS

approved