|
|
A249157
|
|
Palindromic in bases 11 and 13.
|
|
4
|
|
|
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 84, 366, 510, 732, 876, 1020, 1098, 1242, 1464, 10248, 30252, 31110, 62220, 103704, 146541, 3382050, 3698730, 4391268, 225622530, 272466250, 413186676, 713998530, 801837204, 848770222, 912265732
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
|
|
LINKS
|
|
|
EXAMPLE
|
366 is a term since 366 = 303 base 11 and 366 = 222 base 13.
|
|
MATHEMATICA
|
palQ[n_Integer, base_Integer]:=Block[{idn=IntegerDigits[n, base]}, idn==Reverse[idn]]; Select[Range[10^6]-1, palQ[#, 11]&&palQ[#, 13]&]
|
|
PROG
|
(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 palQgen(l, b): # unordered generator of palindromes in base b of length <= 2*l
....if l > 0:
........yield 0
........for x in range(1, b**l):
............s = digits(x, b)
............yield int(s+s[-2::-1], b)
............yield int(s+s[::-1], b)
A249157_list = sorted([n for n in palQgen(6, 11) if palQ(n, 13)]) # Chai Wah Wu, Nov 25 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|