A117509 - OEIS

A117509

Numbers whose base-3, base-4, base-5, and base-6 expansions contain no 1's.

0, 2, 560, 43760, 163854, 164018, 870899850, 870899852, 870900354, 870900360, 870900362, 870907842, 870907848, 870907850, 870977340, 870977342, 871016994, 871017138, 871017144, 871018188, 871018190, 871018440, 871018442, 871025312

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..24.

EXAMPLE

560 is in the sequence because 560 = 202202_3, 20300_4, 4220_5 and 2332_6.

MAPLE

a:=proc(n) if member(1, convert(n, base, 3))=false and member(1, convert(n, base, 4))=false and member(1, convert(n, base, 5))=false and member(1, convert(n, base, 6))=false then n else fi end: seq(a(n), n=0..300000); # Emeric Deutsch, Jul 25 2006

MATHEMATICA

Select[Range[0, 880000000], Count[Flatten[Table[IntegerDigits[#, n], {n, 3, 6}]], 1]==0&] (* Harvey P. Dale, Oct 30 2011 *) (* The program takes a long time to generate all the terms of the sequence *)

CROSSREFS

Subsequence of A117496 (base-3 and base-4).

Sequence in context: A336784 A201247 A265633 * A285690 A201603 A200964

Adjacent sequences: A117506 A117507 A117508 * A117510 A117511 A117512

KEYWORD

base,nonn

AUTHOR

Zak Seidov, Apr 26 2006

EXTENSIONS

More terms from Joshua Zucker, Aug 12 2006

STATUS

approved