A097931 Numbers in base 10 that are palindromic in bases 6 and 7.

0, 1, 2, 3, 4, 5, 92, 135, 178, 185, 5854, 6148, 7703, 186621, 204856, 206620, 213970, 269957, 271721, 279071, 4252232, 160258808, 9689802280, 203509031168, 204191148800, 231773764784, 321015775216, 4102350269485, 12262956787888

Offset

1,3

Comments

Intersection of A029953 and A029954. - Michel Marcus, Oct 09 2014

Links

Giovanni Resta, Table of n, a(n) for n = 1..50 (first 30 terms from Robert G. Wilson v)

Cino Hilliard, util.gp PARI Functions not in the PARI Library. [broken link]

Cino Hilliard, Pari Utilities (cached)

Example

269957 base 10 is 5441445 base 6 and 269957 base 10 is 2203022 base 7.

Mathematica

Do[ p6 = IntegerDigits[n, 6]; If[ FromDigits[ Reverse[ p6]] == FromDigits[p6], p7 = IntegerDigits[n, 7]; If[ FromDigits[ Reverse[p7]] == FromDigits[p7], Print[n]]], {n, 10^9}] (* Robert G. Wilson v, Sep 07 2004 *)

Prog

(PARI) /* Requires reading the util.gp file in the link into the gp session.  */
palbase(n, b1, b2) = { for(x=1, n, if(ispal(base(10, b1, x))& ispal(base(10, b2, x)), print1(x", ")) ) }

Crossrefs

Cf. A029953 (base 6), A029954 (base 7).

Sequence in context: A037434 A033170 A334536 * A162225 A010348 A171591

Adjacent sequences: A097928 A097929 A097930 * A097932 A097933 A097934

Keyword

base,nonn

Author

Cino Hilliard, Sep 04 2004

Extensions

More terms from Robert G. Wilson v, Sep 07 2004

a(23)-a(29) from Donovan Johnson, Apr 23 2010

a(30) from Robert G. Wilson v, Jul 17 2015

Status

approved