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A029967
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Palindromic in bases 12 and 10.
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40
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 181, 555, 616, 676, 737, 797, 1111, 8008, 35953, 43934, 88888, 646646, 3192913, 5641465, 8364638, 9963699, 133373331, 139979931, 293373392, 520020025, 713171317, 796212697, 1393223931
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OFFSET
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1,3
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LINKS
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MATHEMATICA
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Select[Range[0, 10^5], PalindromeQ[#] && # == IntegerReverse[#, 12] &] (* Robert Price, Nov 09 2019 *)
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PROG
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(Python)
from gmpy2 import digits
def palQ(n, b): # check if n is a palindrome in base b
s = digits(n, b)
return s == s[::-1]
def palQgen10(l): # generator of palindromes in base 10 of length <= 2*l
if l > 0:
yield 0
for x in range(1, l+1):
for y in range(10**(x-1), 10**x):
s = str(y)
yield int(s+s[-2::-1])
for y in range(10**(x-1), 10**x):
s = str(y)
yield int(s+s[::-1])
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CROSSREFS
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Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, A029966, A029968, A029969, A029970, A029731, A097855, A099165.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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