login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Palindromes in which, in the first half of the number, digits appear in the order 1, 0, 2, 3, 1, 0, 2, 3, 1, ...
0

%I #7 Mar 30 2012 17:34:13

%S 1,11,101,1001,10201,102201,1023201,10233201,102313201,1023113201,

%T 10231013201,102310013201,1023102013201,10231022013201,

%U 102310232013201,1023102332013201,10231023132013201,102310231132013201

%N Palindromes in which, in the first half of the number, digits appear in the order 1, 0, 2, 3, 1, 0, 2, 3, 1, ...

%C A method of altering the order in the digit sets of palindromic numbers and making continued fractions from them.

%F c[1]=1 c[2]=0 c[3]=2 c[0]=3 a[m] = Delete[Table[If [ Floor[m/2]-n>=0, c[ Mod[n, 4]], c[Mod[m-n, 4]]], {n, 1, m}], m] b[m]=Sum[a[m][[i]]*10^(i-1), {i, 1, m-1}]

%t digits=50 c={1, 0, 2, 3} a[m_]=Delete[Table[If [ Floor[m/2]-n>=0, c[[ Mod[n, 4]]], c[[Mod[m-n, 4]]]], {n, 1, m}], m] b=Table[Sum[a[m][[i]]*10^(i-1), {i, 1, m-1}], {m, 2, digits}]

%Y Cf. A007907.

%K nonn,base

%O 1,2

%A _Roger L. Bagula_, Dec 07 2003

%E Edited by _N. J. A. Sloane_, Jan 05 2009.