A042960 The sequence d when b is obtained by reversing the parity of Euler's partition function A000041.

2, 4, 9, 15, 16, 18, 21, 22, 27, 28, 30, 31, 34, 35, 36, 41, 44

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