A097929 Numbers in base 10 that are palindromic in bases 4 and 5.

0, 1, 2, 3, 46, 9222, 76449, 193662, 2347506, 2593206, 17099841, 17402241, 25651017, 32317933, 16516113567, 16619231967, 155784877126, 2806999337418, 3101308506654, 37004798195346, 47470618709562, 48517516968462

Offset: 1

Author

Cino Hilliard, Sep 04 2004

Keywords

• base
• nonn

Comments

Intersection of A014192 and A029952. - Michel Marcus, Oct 09 2014

Examples

			9222 base 10 is 2100012 base 4 and 9222 base 10 is 243342 base 5.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..26 (terms < 10^18)
• Cino Hilliard, util.gp PARI Functions not in the PARI Library. [broken link]
• Cino Hilliard, Pari Utilities (cached)

Crossrefs

Cf. A014192 (base 4), A029952 (base 5).

Programs

Mathematica

Do[ p4 = IntegerDigits[n, 4]; If[ FromDigits[ Reverse[ p4]] == FromDigits[p4], p5 = IntegerDigits[n, 5]; If[ FromDigits[ Reverse[p5]] == FromDigits[p5], Print[n]]], {n, 2*10^7}] (* Robert G. Wilson v, Sep 07 2004 *)

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",")) ) }

Extensions

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

a(15)-a(22) from Donovan Johnson, Apr 23 2010