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A042960 The sequence d when b is obtained by reversing the parity of Euler's partition function A000041. 1
2, 4, 9, 15, 16, 18, 21, 22, 27, 28, 30, 31, 34, 35, 36, 41, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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..16.

CROSSREFS

Sequence in context: A244624 A343592 A036277 * A266596 A045975 A058296

Adjacent sequences:  A042957 A042958 A042959 * A042961 A042962 A042963

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 4 21:32 EDT 2021. Contains 346455 sequences. (Running on oeis4.)