A381490 Index of second half of decomposition of integers into pairs x(i)+y(j) based on A380008 and A380009, respectively.

0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 4, 5, 6, 7, 6, 7, 6, 7, 6, 7, 4, 5, 4, 5, 4, 5, 4, 5, 6, 7, 6, 7, 6, 7, 6, 7, 8, 9, 8, 9, 8, 9, 8, 9, 10, 11, 10, 11, 10, 11, 10, 11, 8, 9, 8, 9, 8, 9, 8, 9

Offset

0,9

Comments

One coordinate of a recursive non-self-intersecting walk on the square lattice Z^2.

Every integer appears infinitely many times in the sequence.

Links

Table of n, a(n) for n=0..87.

Luis Rato, Plot of an NZ-order curve, containing the integers from 0 to 255.

Index entries for sequences related to coordinates of 2D curves

Formula

n = A380008(A381489(n)) + A380009(a(n))

Example

A380008( A381489(14)) + A380009(a(14)) = A380008(3) + A380009(2) = 6+8 = 14

Crossrefs

Cf. A381489

Cf. A380008 (indices of 0's), A380009.

Sequence in context: A274821 A275720 A307200 * A339092 A165587 A368405

Adjacent sequences: A381487 A381488 A381489 * A381491 A381492 A381493

Keyword

easy,nonn

Author

Luis Rato, Feb 25 2025

Status

approved