A097928 Numbers in base 10 that are palindromic in bases 3 and 4.

0, 1, 2, 10, 130, 11950, 175850, 749470, 1181729, 11435450, 916821671, 956613659, 1136307905, 46746179770, 77887660577, 635913760790, 53903615484947, 55988454554339, 534479689454189, 1956592840355065

Offset

1,3

Comments

Intersection of A014190 and A014192. - Michel Marcus, Oct 09 2014

Links

Ray Chandler, Table of n, a(n) for n = 1..27 (terms < 10^18)

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

Cino Hilliard, Pari Utilities (cached)

Example

175850 base 10 is 22221012222 base 3 and 175850 base 10 is 222323222 base 4.

Mathematica

Do[ p3 = IntegerDigits[n, 3]; If[ FromDigits[ Reverse[ p3]] == FromDigits[p3], p4 = IntegerDigits[n, 4]; If[ FromDigits[ Reverse[p4]] == FromDigits[p4], Print[n]]], {n, 2*10^7}] (* Robert G. Wilson v, Sep 07 2004 *)

Prog

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

Crossrefs

Cf. A014190 (base 3), A014192 (base 4).

Sequence in context: A194158 A323715 A111135 * A254431 A011838 A355463

Adjacent sequences: A097925 A097926 A097927 * A097929 A097930 A097931

Keyword

base,nonn

Author

Cino Hilliard, Sep 04 2004

Extensions

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

a(11)-a(21) from Donovan Johnson, Apr 23 2010

Status

approved