A266510 Partial sums of A266509.

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, 387, 410, 439, 468, 503, 538, 579, 620, 651, 682, 683, 684, 687, 690, 695, 700

Offset

1,4

Comments

Also A256265 and twice the terms of A256264 interleaved, with a(1) = 0.

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

First differs from A266530 at a(55), with which it shares infinitely many terms.

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

For an illustration of initial terms consider the diagram of A256264 in the fourth quadrant of the square grid together with a reflected copy in the second quadrant.

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) = A256265(n).

a(2n) = 2 * A256264(n-1).

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

Mathematica

Accumulate@Riffle[#, #] &@ Flatten@Join[{0}, NestList[Join[#, Range[ Length[ #] - 1]*6 - 1, {2 #[[-1]] + 1}] &, {1}, 5]] (* Ivan Neretin, Feb 14 2017 *)

Crossrefs

Cf. A256263, A256264, A256265, A266509, A266530, A266540.

Sequence in context: A089589 A047546 A266530 * A266540 A342790 A347873

Adjacent sequences: A266507 A266508 A266509 * A266511 A266512 A266513

Keyword

nonn

Author

Omar E. Pol, Dec 30 2015

Status

approved