A161980 a(n) = the smallest positive multiple of n containing {the string made by reversing the order of the binary digits of n, and removing leading 0's} as a substring when a(n) is written in binary.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 55, 12, 91, 14, 15, 16, 17, 18, 57, 20, 21, 110, 253, 24, 275, 182, 27, 28, 87, 30, 31, 32, 33, 34, 455, 36, 333, 114, 741, 40, 1189, 42, 215, 220, 45, 506, 893, 48, 931, 550, 51, 364, 689, 54, 495, 56, 627, 174, 885, 60, 1403, 62, 63, 64

Offset

1,2

Links

Table of n, a(n) for n=1..64.

Example

13 in binary is 1101, which reversed is 1011. a(13) = the positive multiple of 13 that contains the string 1011 as a substring in its binary representation. a(13) therefore equals 91 = 7*13, which is 1011011 in binary. (Binary 91 actually contains the substring 1011 twice.)

Crossrefs

Cf. A030101, A161979.

Sequence in context: A062683 A363765 A137857 * A183533 A132576 A161948

Adjacent sequences: A161977 A161978 A161979 * A161981 A161982 A161983

Keyword

base,nonn

Author

Leroy Quet, Jun 23 2009

Extensions

Extended by Ray Chandler, Mar 12 2010

Status

approved