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A182233
Numbers that are palindromic in bases 2 and 6.
17
0, 1, 3, 5, 7, 21, 129, 427, 693, 819, 3999, 4257, 4593, 28539, 66433, 85093, 148617, 151497, 153513, 180213, 425971, 1040319, 1093281, 1508381, 1632995, 1974031, 1986127, 30522135, 30643095, 208080483, 1894216583, 6662648163, 8632935681
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OFFSET
1,3
COMMENTS
Intersection of
A006995
and
A029953
. -
Michel Marcus
, Oct 09 2014
LINKS
Ray Chandler,
Table of n, a(n) for n = 1..70
(terms < 10^18)
EXAMPLE
85093 base 2 = 10100110001100101 and 85093 base 6 = 1453541.
MATHEMATICA
b1 = 2; b2 = 6; lst = {}; Do[d1 = IntegerDigits[n, b1]; d2 = IntegerDigits[n, b2]; If[d1 == Reverse[d1] && d2 == Reverse[d2], AppendTo[lst, n]], {n, 2000000}]; lst (*
T. D. Noe
, Apr 19 2012 *)
PROG
(PARI) isok(n) = (d2=digits(n, 2)) && (d2==Vecrev(d2)) && (d6=digits(n, 6)) && (d6==Vecrev(d6)); \\
Michel Marcus
, Oct 27 2014
CROSSREFS
Cf.
A006995
(base 2),
A029953
(base 6).
Cf.
A060792
(base 2 and 3),
A097856
(base 2 and 4).
Sequence in context:
A336985
A360929
A228068
*
A370204
A239282
A171015
Adjacent sequences:
A182230
A182231
A182232
*
A182234
A182235
A182236
KEYWORD
nonn
,
base
AUTHOR
Alex Ratushnyak
, Apr 19 2012
EXTENSIONS
a(28)-a(33) and b-file from
Ray Chandler
, Oct 27 2014
STATUS
approved