A292588 Compound filter: a(n) = P(A292582(n), A292583(n)), where P(n,k) is sequence A000027 used as a pairing function.

1, 1, 2, 3, 2, 2, 4, 6, 3, 2, 7, 5, 7, 4, 4, 10, 7, 3, 11, 5, 2, 7, 16, 9, 3, 7, 9, 8, 16, 4, 22, 15, 4, 7, 7, 21, 22, 11, 11, 9, 22, 2, 29, 12, 5, 16, 37, 14, 3, 3, 11, 12, 37, 9, 4, 13, 7, 16, 46, 8, 46, 22, 8, 28, 4, 4, 56, 12, 11, 7, 67, 36, 67, 22, 5, 17, 7, 11, 79, 14, 10, 22, 92, 5, 11, 29, 22, 18, 92, 5, 7, 23, 16, 37, 16, 20, 92, 3, 122, 21, 92, 11

Offset: 1

Author

Antti Karttunen, Sep 26 2017

Keywords

• nonn

Comments

A filter constructed from the runlengths of numbers of the form 4k+0 and the runlengths of numbers of the form 4k+3 encountered in trajectories of A005940-tree.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A000027, A292582, A292583, A292584, A292587.

Formula

a(n) = (1/2)*(2 + ((A292582(n) + A292583(n))^2) - A292582(n) - 3*A292583(n)).