cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A105104 #22 Feb 01 2023 08:17:32
%S A105104 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,
%T A105104 47,13,57,17,33,1,49,25,41,9,61,21,37,5,53,29,45,15,59,19,35,3,51,27,
%U A105104 43,11,63,23,39,7,55,63,93,25,113,33,65,1,97,49,81,17,121,41,73
%N A105104 Write A102370 in binary (A103542), read backwards, omit leading zeros, convert to base 10.
%C A105104 Similar to A102370, but read diagonals in reverse direction.
%H A105104 David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [<a href="http://neilsloane.com/doc/slopey.pdf">pdf</a>, <a href="http://neilsloane.com/doc/slopey.ps">ps</a>].
%F A105104 a(n) = A030101(A102370(n)). - _Philippe Deléham_, Nov 11 2007
%o A105104 (PARI) a1(n) = fromdigits(Vecrev(binary(n)), 2); \\ A030101
%o A105104 a0(n) = if( n<1, 0, sum(k=0, length(binary(n)), bitand(n + k, 2^k))); \\ A102370
%o A105104 a(n) = a1(a0(n)); \\ _Michel Marcus_, Apr 09 2022
%Y A105104 Cf. A030101, A102370, A103542.
%K A105104 nonn,base
%O A105104 0,2
%A A105104 _N. J. A. Sloane_, Apr 30 2005
%E A105104 More terms from _Philippe Deléham_, Nov 11 2007
%E A105104 a(46)=19 inserted and more terms from _Georg Fischer_, Apr 08 2022