A212495 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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: A221991 A279254 A373402 * A083490 A229363 A083498

Adjacent sequences: A212492 A212493 A212494 * A212496 A212497 A212498

KEYWORD

nonn,base,easy

AUTHOR

Douglas Latimer, May 18 2012

STATUS

approved