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A042962 The sequence e when b=[ 1,0,1,0,1,0,1,0,... ]. 0
1, 1, 2, 3, 4, 5, 8, 9, 12, 15, 18, 21, 28, 31, 38, 45, 52, 59, 72, 79, 92, 105, 118, 131, 154, 167, 190, 213, 236, 259, 296, 319, 356, 393, 430, 467, 524, 561, 618, 675, 732, 789, 872, 929, 1012, 1095, 1178, 1261 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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..47.

CROSSREFS

Sequence in context: A109850 A008749 A029000 * A027584 A161240 A165652

Adjacent sequences:  A042959 A042960 A042961 * A042963 A042964 A042965

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified February 18 02:57 EST 2020. Contains 332006 sequences. (Running on oeis4.)