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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
1, 11, 101, 1001, 10201, 102201, 1023201, 10233201, 102313201, 1023113201, 10231013201, 102310013201, 1023102013201, 10231022013201, 102310232013201, 1023102332013201, 10231023132013201, 102310231132013201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..18.

FORMULA

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}]

MATHEMATICA

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}]

CROSSREFS

Cf. A007907.

Sequence in context: A000533 A147759 A147757 * A164046 A284235 A284299

Adjacent sequences:  A089180 A089181 A089182 * A089184 A089185 A089186

KEYWORD

nonn,base

AUTHOR

Roger L. Bagula, Dec 07 2003

EXTENSIONS

Edited by N. J. A. Sloane, Jan 05 2009.

STATUS

approved

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Last modified June 25 00:34 EDT 2021. Contains 345445 sequences. (Running on oeis4.)