A124138 a(n)= A000265(3*(a(n-1)+a(n-2))/2 +1) starting at a(1)=1, a(2)=3.

1, 3, 7, 1, 13, 11, 37, 73, 83, 235, 239, 89, 493, 437, 349, 295, 967, 947, 359, 245, 907, 1729, 3955, 8527, 4681, 19813, 18371, 57277, 113473, 128063, 362305, 735553, 411697, 430219, 1262875, 1269821, 3799045, 1900825, 4274903, 9263593, 20307745, 2772313

Offset

1,2

Comments

A variant of A105801: The highest power of two is recursively removed from 3x/2+1, where x is the sum of the preceding two elements of the sequence.

Links

Table of n, a(n) for n=1..42.

Example

Examples which start with s(1)=1 and s(2)=2*k+1:
1,1,1,1,1,1,1,1,1,1,1,1,..... : A000012
1,3,7,1,13,11,37,73,83,235,.... : this sequence
1,5,5,1,5,5,1,5,5,1,5,5,1,5,5,1,5,5,1,5,5.... : periodic
1,7,13,31,67,37,157,73,173,185,269,341,229,107,505,919,2137,4585,....
1,9,1,1,1,1,1,1,1,1,1.1....
1,11,19,23,1,37,29,25,41,25,25,19,67,65,199,397,895,.... : A124139

Crossrefs

Sequence in context: A329286 A191335 A338366 * A135561 A196231 A210037

Adjacent sequences: A124135 A124136 A124137 * A124139 A124140 A124141

Keyword

nonn

Author

Yasutoshi Kohmoto, Dec 01 2006

Extensions

Edited and extended by R. J. Mathar, Jul 02 2009

Status

approved