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A029956 Numbers that are palindromic in base 11. 4
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 122, 133, 144, 155, 166, 177, 188, 199, 210, 221, 232, 244, 255, 266, 277, 288, 299, 310, 321, 332, 343, 354, 366, 377, 388, 399, 410, 421, 432, 443, 454, 465, 476, 488, 499 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..56.

P. De Geest, Palindromic numbers beyond base 10

MATHEMATICA

f[n_, b_]:=Module[{i=IntegerDigits[n, b]}, i==Reverse[i]]; lst={}; Do[If[f[n, 11], AppendTo[lst, n]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 08 2009 *)

pal11Q[n_]:=Module[{idn11=IntegerDigits[n, 11]}, idn11==Reverse[idn11]]; Select[Range[0, 500], pal11Q] (* Harvey P. Dale, May 11 2015 *)

PROG

(PARI) ispal(n, b)=my(tmp, d=log(n+.5)\log(b)-1); while(d, tmp=n%b; n\=b; if(n\b^d!=tmp, return(0)); n=n%(b^d); d-=2; ); d<0||n%(b+1)==0

is(n)=ispal(n, 11) \\ Charles R Greathouse IV, Aug 21 2012

CROSSREFS

Cf. A002113 (base 10), A029957 (base 12).

Sequence in context: A044822 A048308 A043714 * A048322 A048335 A068862

Adjacent sequences:  A029953 A029954 A029955 * A029957 A029958 A029959

KEYWORD

nonn,base

AUTHOR

Patrick De Geest

STATUS

approved

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Last modified March 26 22:59 EDT 2017. Contains 284138 sequences.