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A029954
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Palindromic in base 7.
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22
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0, 1, 2, 3, 4, 5, 6, 8, 16, 24, 32, 40, 48, 50, 57, 64, 71, 78, 85, 92, 100, 107, 114, 121, 128, 135, 142, 150, 157, 164, 171, 178, 185, 192, 200, 207, 214, 221, 228, 235, 242, 250, 257, 264, 271, 278, 285, 292, 300, 307, 314, 321, 328, 335, 342, 344, 400, 456
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..10000
P. De Geest, Palindromic numbers beyond base 10
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MATHEMATICA
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f[n_, b_] := Module[{i=IntegerDigits[n, b]}, i==Reverse[i]]; lst={}; Do[If[f[n, 7], AppendTo[lst, n]], {n, 1000}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 08 2009 *)
pal7Q[n_]:=Module[{idn7=IntegerDigits[n, 7]}, idn7==Reverse[idn7]]; Select[ Range[0, 500], pal7Q] (* Harvey P. Dale, Jul 30 2015 *)
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PROG
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(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)
A029954_list = list(palQgen(4, 7)) # Chai Wah Wu, Dec 01 2014
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CROSSREFS
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Palindromes in bases 2 through 10: A006995, A014190, A014192, A029952, A029953, A029954, A029803, A029955, A002113.
Sequence in context: A043710 A296703 A297262 * A048318 A037402 A048332
Adjacent sequences: A029951 A029952 A029953 * A029955 A029956 A029957
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KEYWORD
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nonn,base
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AUTHOR
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Patrick De Geest
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STATUS
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approved
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