A266530 Partial sums of A266529.

0, 0, 1, 2, 3, 4, 7, 10, 11, 12, 15, 18, 23, 28, 35, 42, 43, 44, 47, 50, 55, 60, 67, 74, 79, 84, 95, 106, 123, 140, 155, 170, 171, 172, 175, 178, 183, 188, 195, 202, 207, 212, 223, 234, 251, 268, 283, 298, 303, 308, 319, 330, 347, 364, 383, 402, 423, 444, 483, 522, 571, 620, 651, 682, 683, 684, 687, 690, 695, 700

Offset

1,4

Comments

Also the toothpick sequence A139250 and twice the terms of A255747 interleaved.

It appears that this sequence has a fractal (or fractal-like) behavior.

First differs from A266510 at a(55), with which it shares infinitely many terms.

First differs from A266540 at a(25), with which it shares infinitely many terms.

Links

Ivan Neretin, Table of n, a(n) for n = 1..8192

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to cellular automata

Formula

a(2n-1) = A139250(n).

a(2n) = 2 * A255747(n-1).

a(n) = (a(n-1) + a(n+1))/2, if n is an odd number greater than 1.

Mathematica

Accumulate[Riffle[#, #] &@ Nest[Join[#, 2 # + Append[Rest@#, 1]] &, {0}, 6]] (* Ivan Neretin, Feb 09 2017 *)

Crossrefs

Cf. A139250, A160552, A255747, A266510, A266529, A266540.

Sequence in context: A342780 A089589 A047546 * A266510 A266540 A342790

Adjacent sequences: A266527 A266528 A266529 * A266531 A266532 A266533

Keyword

nonn

Author

Omar E. Pol, Jan 02 2016

Status

approved