

A212495


Numbers all of whose base 11 digits are even.


1



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
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OFFSET

1,2


COMMENTS

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



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=(cd)/11; if(d%2==1, return(0))) ; 1}
for(i=0, 317, if(is(i), print1(i, ", ")))


CROSSREFS



KEYWORD

nonn,base,easy


AUTHOR



STATUS

approved



