A131389 Sequence (d(n)) generated by Rule 1 (see Comments) with a(1) = 1 and d(1) = 0.

0, 1, 2, -1, 3, 4, -2, -3, 6, -4, 5, 7, -5, 8, -6, -7, 9, 10, -8, 11, -10, 12, -9, -11, 13, 14, -13, -12, 15, 16, -14, -15, 17, 18, -16, 19, -17, 20, -19, 21, -18, 22, -20, -21, 24, -22, 23, 25, -23, 26, -25, 27, -24, 28, -26, -27, 30, 29, -31, 32, -28, 31, -29, 33, -30, 34, -32, -33, 35, 36, -34

Offset

1,3

Comments

Rule 1 is given at A131388. Conjecture: Every integer occurs exactly once in A131389.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Formula

This is the sequence d( ) in the formula for A131388.

Example

See A131388.

Mathematica

See A131388.

Crossrefs

Cf. A131388, A131390, A131391, A131392, A131393, A131394, A131395, A131396, A131397.

Sequence in context: A140073 A333400 A362311 * A131394 A130585 A209151

Adjacent sequences: A131386 A131387 A131388 * A131390 A131391 A131392

Keyword

sign

Author

Clark Kimberling, Jul 05 2007

Extensions

Definition clarified by Clark Kimberling, May 12 2015

Status

approved