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

Author

Leroy Quet, Mar 24 2010

Keywords

• base
• nonn

Crossrefs

Cf. A175298

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.

Extensions

More terms from Nathaniel Johnston, Nov 18 2010