A105104 Write A102370 in binary (A103542), read backwards, omit leading zeros, convert to base 10.

0, 3, 3, 5, 1, 15, 5, 9, 1, 13, 7, 11, 7, 29, 9, 17, 1, 25, 13, 21, 5, 31, 11, 19, 3, 27, 15, 47, 13, 57, 17, 33, 1, 49, 25, 41, 9, 61, 21, 37, 5, 53, 29, 45, 15, 59, 19, 35, 3, 51, 27, 43, 11, 63, 23, 39, 7, 55, 63, 93, 25, 113, 33, 65, 1, 97, 49, 81, 17, 121, 41, 73

Offset: 0

Author

N. J. A. Sloane, Apr 30 2005

Keywords

• nonn
• base

Comments

Similar to A102370, but read diagonals in reverse direction.

Links

• David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

Crossrefs

Cf. A030101, A102370, A103542.

Programs

PARI

a1(n) = fromdigits(Vecrev(binary(n)), 2); \\ A030101
a0(n) = if( n<1, 0, sum(k=0, length(binary(n)), bitand(n + k, 2^k))); \\ A102370
a(n) = a1(a0(n)); \\ Michel Marcus, Apr 09 2022

Formula

a(n) = A030101(A102370(n)). - Philippe Deléham, Nov 11 2007

Extensions

More terms from Philippe Deléham, Nov 11 2007

a(46)=19 inserted and more terms from Georg Fischer, Apr 08 2022