login
A105104
Write A102370 in binary (A103542), read backwards, omit leading zeros, convert to base 10.
0
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
0,2
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].
FORMULA
a(n) = A030101(A102370(n)). - Philippe Deléham, Nov 11 2007
PROG
(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
CROSSREFS
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Apr 30 2005
EXTENSIONS
More terms from Philippe Deléham, Nov 11 2007
a(46)=19 inserted and more terms from Georg Fischer, Apr 08 2022
STATUS
approved