A381489 Index of first half of decomposition of integers into pairs x(i)+y(j) based on A380008 and A380009, respectively.

0, 0, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 6, 6, 7, 7, 0, 0, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 6, 6, 7, 7, 0, 0, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 6, 6, 7, 7

Offset

0,5

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..95.

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(a(n)) + A380009(A381490(n)).

Example

A380008(a(14)) + A380009(A381490(14)) = A380008(3) + A380009(2) = 6+8 = 14.

Crossrefs

Cf. A380008, A380009, A381490.

Sequence in context: A181313 A334515 A164089 * A300290 A068460 A308120

Adjacent sequences: A381486 A381487 A381488 * A381490 A381491 A381492

Keyword

easy,nonn

Author

Luis Rato, Feb 25 2025

Status

approved