A175299 a(n) = the smallest positive integer such that A175298(a(n)) = the n-th positive integer that is a palindrome when written in binary.

1, 2, 4, 6, 8, 10, 16, 20, 18, 22, 32, 36, 34, 38, 64, 72, 68, 76, 66, 74, 70, 78, 128, 136, 132, 140, 130, 138, 134, 142, 256, 272, 264, 280, 260, 276, 268, 284, 258, 274, 266, 282, 262, 278, 270, 286, 512, 528, 520, 536, 516, 532, 524, 540, 514, 530, 522

Offset

1,2

Links

Table of n, a(n) for n=1..57.

Formula

a(n) = 2^floor(log_2(P(n))) + P(n)(mod 2^(floor(log_2(P(n))/2)+1)) -1, where P(n) = the n-th positive integer that is a palindrome when written in binary.

Crossrefs

Cf. A175298

Sequence in context: A088007 A302299 A227992 * A088008 A067720 A078106

Adjacent sequences: A175296 A175297 A175298 * A175300 A175301 A175302

Keyword

base,nonn

Author

Leroy Quet, Mar 24 2010

Extensions

More terms from Nathaniel Johnston, Nov 18 2010

Status

approved