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A118598
Palindromes in base 7 (written in base 7).
10
0, 1, 2, 3, 4, 5, 6, 11, 22, 33, 44, 55, 66, 101, 111, 121, 131, 141, 151, 161, 202, 212, 222, 232, 242, 252, 262, 303, 313, 323, 333, 343, 353, 363, 404, 414, 424, 434, 444, 454, 464, 505, 515, 525, 535, 545, 555, 565, 606, 616, 626, 636, 646, 656, 666, 1001
OFFSET
1,3
MATHEMATICA
(* get NextPalindrome from A029965 *) Select[NestList[NextPalindrome, 0, 109], Max@IntegerDigits@# < 7 &] (* Robert G. Wilson v, May 09 2006 *)
PROG
(Python)
from sympy import integer_log
from gmpy2 import digits
def A118598(n):
if n == 1: return 0
y = 7*(x:=7**integer_log(n>>1, 7)[0])
return int((s:=digits(n-x, 7))+s[-2::-1] if n<x+y else (s:=digits(n-y, 7))+s[::-1]) # Chai Wah Wu, Jun 14 2024
KEYWORD
nonn,base
AUTHOR
Martin Renner, May 08 2006
EXTENSIONS
Corrected and extended by Robert G. Wilson v, May 09 2006
STATUS
approved