A266529 Terms of A160552 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, 19, 19, 21, 21, 39, 39, 49, 49, 31, 31, 1, 1, 3, 3, 5, 5, 7, 7, 5, 5, 11, 11, 17, 17, 15, 15, 5, 5, 11, 11, 17, 17, 19, 19, 21, 21

Offset

1,7

Comments

First differs from A266509 at a(55), with which it shares infinitely many terms.

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

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;
1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15,5,5,11,11,17,17,19,19,21,21,39,39,49,49,31,31;
...
Row sums give 0 together with A004171.

Mathematica

Riffle[#, #] &@ Table[SeriesCoefficient[x (1 + 2 x)/(1 + x) + (4 x^2/(1 + 2 x)) (Product[1 + x^(2^k - 1) + 2 x^(2^k), {k, 20}] - 1), {x, 0, n}], {n, 0, 44}] (* Michael De Vlieger, Jan 05 2016, based on Maple by N. J. A. Sloane at A160552 *)

Crossrefs

Partial sums give A266530.

Cf. A004171, A011782, A139250, A160552, A255747, A266509, A266539.

Sequence in context: A285116 A356301 A349813 * A266509 A266539 A090569

Adjacent sequences: A266526 A266527 A266528 * A266530 A266531 A266532

Keyword

nonn,tabf

Author

Omar E. Pol, Jan 02 2016

Status

approved