A266509 Terms of A256263 repeated.

0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 5, 5, 7, 7, 1, 1, 3, 3, 5, 5, 7, 7, 5, 5, 11, 11, 17, 17, 15, 15, 1, 1, 3, 3, 5, 5, 7, 7, 5, 5, 11, 11, 17, 17, 15, 15, 5, 5, 11, 11, 17, 17, 23, 23, 29, 29, 35, 35, 41, 41, 31, 31, 1, 1, 3, 3, 5, 5, 7, 7, 5, 5, 11, 11, 17, 17, 15, 15, 5, 5, 11, 11, 17, 17, 23, 23, 29, 29

Offset

1,7

Comments

First differs from A266529 at a(55), with which it shares infinitely many terms.

First differs from A266539 at a(25), with which it shares infinitely many terms.

For an illustration of initial terms consider the diagram of A256263 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

Example

Written as an irregular triangle in which the row lengths are twice the terms of A011782 the sequence begins:
0,0;
1,1;
1,1,3,3;
1,1,3,3,5,5,7,7;
1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15;
1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15,5,5,11,11,17,17,23,23,29,29,35,35,41,41,31,31;
...
Row sums give 0 together with A004171.

Mathematica

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

Crossrefs

Partial sums give A266510.

Cf. A004171, A011782, A256263, A256264, A256265, A266529, A266539.

Sequence in context: A356301 A349813 A266529 * A266539 A090569 A160324

Adjacent sequences: A266506 A266507 A266508 * A266510 A266511 A266512

Keyword

nonn,tabf

Author

Omar E. Pol, Jan 02 2016

Status

approved