A065571 Numbers whose decimal digits can be permuted to give a multiple of 11.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 110, 112, 121, 123, 132, 134, 139, 143, 145, 148, 154, 156, 157, 165, 166, 167, 175, 176, 178, 184, 187, 189, 193, 198, 202, 209, 211, 213, 220, 224, 231, 235, 242, 246, 249, 253, 257, 258, 264, 267, 268, 275, 276

Offset

0,2

Comments

a(k) = A064544(k) for k <= 263, a(263) = 1111. But the digits of the next biquam 1113 cannot be arranged to a multiple of 11. So we have a subset of those biquams, whose separating sets differ at most by 1 in size.

Links

Table of n, a(n) for n=0..53.

Mathematica

Select[Range[0, 300], AnyTrue[FromDigits/@Permutations[ IntegerDigits[ #]], Divisible[ #, 11]&]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 15 2016 *)

Crossrefs

Sequence in context: A067042 A078273 A345391 * A064544 A083967 A343444

Adjacent sequences: A065568 A065569 A065570 * A065572 A065573 A065574

Keyword

nonn,base

Author

Reinhard Zumkeller, Dec 02 2001

Status

approved