Search: id:A061561
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%I A061561
%S A061561 22,35,84,105,180,225,360,405,744,837,1488,1581,3024,3213,6048,6237,
%T A061561 12192,12573,24384,24765,48960,49725,97920,98685,196224,197757,392448,
%U A061561 393981,785664,788733,1571328,1574397,3144192,3150333,6288384,6294525
%N A061561 Trajectory of 22 under the Reverse and Add! operation carried out in 
               base 2.
%C A061561 Sequence A058042 written in base 10. 22 is the smallest number whose 
               base 2 trajectory does not contain a palindrome.
%H A061561 T. D. Noe, <a href="b061561.txt">Table of n, a(n) for n=0..500</a>
%H A061561 Klaus Brockhaus, <a href="a058042.txt">On the 'Reverse and Add!' algorithm 
               in base 2</a>
%H A061561 <a href="Sindx_Res.html#RAA">Index entries for sequences related to Reverse 
               and Add!</a>
%F A061561 a(0) = 22; a(1) = 35; for n > 1 and n = 2 (mod 4): a(n) = 6*2^(2*k)-3*2^k 
               where k = (n+6)/4; n = 3 (mod 4): a(n) = 6*2^(2*k)+3*2^k-3 where 
               k = (n+5)/4; n = 0 (mod 4): a(n) = 12*2^(2*k)-3*2^k where k = (n+4)/
               4; n = 1 (mod 4): a(n) = 12*2^(2*k)+9*2^k-3 where k = (n+3)/4. G.f.: 
               -(112*x^9+80*x^8-60*x^7-48*x^6-90*x^5-72*x^4+18*x^2+35*x+22)/((x-1)*(x+1)*(2*x^2-1)*(2*x^4-1)). 
               Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 05 2002
%o A061561 (ARIBAS) m := 22; stop := 36; c := 0; while c < stop do write(m,","); 
               k := bit_length(m); rev := 0; for i := 0 to k-1 do if bit_test(m,
               i) then rev := bit_set(rev,k-1-i); end; end; inc(c); m := m+rev; 
               end;.
%o A061561 (PARI) {m=22; stop=36; c=0; while(c<stop,print1(k=m,","); rev=0; while(k>
               0,d=divrem(k,2); k=d[1]; rev=2*rev+d[2]); c++; m=m+rev)}
%Y A061561 Cf. A058042, A075153.
%Y A061561 Sequence in context: A124317 A159518 A100039 this_sequence A167277 A084141 
               A082261
%Y A061561 Adjacent sequences: A061558 A061559 A061560 this_sequence A061562 A061563 
               A061564
%K A061561 nonn,base
%O A061561 0,1
%A A061561 N. J. A. Sloane (njas(AT)research.att.com), May 18 2001
%E A061561 More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 
               27 2001

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