A212495 Numbers all of whose base 11 digits are even.

0, 2, 4, 6, 8, 10, 22, 24, 26, 28, 30, 32, 44, 46, 48, 50, 52, 54, 66, 68, 70, 72, 74, 76, 88, 90, 92, 94, 96, 98, 110, 112, 114, 116, 118, 120, 242, 244, 246, 248, 250, 252, 264, 266, 268, 270, 272, 274, 286, 288, 290, 292, 294, 296, 308, 310, 312, 314, 316

Offset

1,2

Comments

Similar in definition to A033036.

As n increases, it is most likely that A212495(n) < A033036(n), although exceptions to this rule can be found. I conjecture that A212495(n) > A033036(n) for only finitely many values of n.

Links

Table of n, a(n) for n=1..59.

Example

30 is represented by "28" in base 11. Both digits in this representation are even, thus 30 belongs to the sequence.

Mathematica

Select[Range[0, 350], AllTrue[IntegerDigits[#, 11], EvenQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 03 2018 *)

Prog

(PARI) {is(c) = local(d); while(c != 0, d=c%11; c=(c-d)/11; if(d%2==1, return(0))) ; 1}
for(i=0, 317, if(is(i), print1(i, ", ")))

Crossrefs

Sequence in context: A157006 A221991 A279254 * A083490 A229363 A083498

Adjacent sequences: A212492 A212493 A212494 * A212496 A212497 A212498

Keyword

nonn,base,easy

Author

Douglas Latimer, May 18 2012

Status

approved