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

Author

Douglas Latimer, May 18 2012

Keywords

• nonn
• base
• easy

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.

Examples

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

Programs

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 *)

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, ", ")))