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A089183 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

%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.

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Last modified August 4 09:55 EDT 2021. Contains 346446 sequences. (Running on oeis4.)