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A029955 Palindromic in base 9. 21
0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 20, 30, 40, 50, 60, 70, 80, 82, 91, 100, 109, 118, 127, 136, 145, 154, 164, 173, 182, 191, 200, 209, 218, 227, 236, 246, 255, 264, 273, 282, 291, 300, 309, 318, 328, 337, 346, 355, 364, 373, 382, 391, 400, 410, 419, 428, 437 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

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, 9], AppendTo[lst, n]], {n, 1000}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 08 2009 *)

PROG

(Python)

from gmpy2 import digits

def palQgen(l, b): # generator of palindromes in base b of length <= 2*l

....if l > 0:

........yield 0

........for x in range(1, l+1):

............for y in range(b**(x-1), b**x):

................s = digits(y, b)

................yield int(s+s[-2::-1], b)

............for y in range(b**(x-1), b**x):

................s = digits(y, b)

................yield int(s+s[::-1], b)

A029955_list = list(palQgen(4, 9)) # Chai Wah Wu, Dec 01 2014

CROSSREFS

Palindromes in bases 2 through 10: A006995, A014190, A014192, A029952, A029953, A029954, A029803, A029955, A002113.

Sequence in context: A044820 A048306 A043712 * A048320 A037407 A048334

Adjacent sequences:  A029952 A029953 A029954 * A029956 A029957 A029958

KEYWORD

nonn,base

AUTHOR

Patrick De Geest

STATUS

approved

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Last modified May 28 17:57 EDT 2017. Contains 287241 sequences.