A279771 - OEIS

%I #10 Dec 23 2016 21:41:56

%S 19,28,37,46,55,64,73,82,190,280,370,460,550,640,730,820,919,928,937,

%T 946,955,964,973,982,991,1819,1828,1837,1846,1855,1864,1873,1882,1891,

%U 1900,2728,2737,2746,2755,2764,2773,2782,2791,2800,3637,3646,3655,3664

%N Numbers n such that the sum of digits of 11n equals 11.

%C Inspired by A088404 = A069537/2 through A088410 = A069543/8.

%t Select[Range@ 3664, Total@IntegerDigits[11 #] == 11 &] (* _Michael De Vlieger_, Dec 23 2016 *)

%o (PARI) is(n)=sumdigits(11*n)==11

%Y Cf. A007953 (digital sum), Digital sum of m*n equals m: A088404 = A069537/2, A088405 = A052217/3, A088406 = A063997/4, A088407 = A069540/5, A088408 = A062768/6, A088409 = A063416/7, A088410 = A069543/8.

%Y Cf. A005349 (Niven or Harshad numbers), A245062 (arranged in rows by digit sums).

%Y Numbers with given digital sum: A011557 (1), A052216 (2), A052217 (3), A052218 (4), A052219 (5), A052220 (6), A052221 (7), A052222 (8), A052223 (9), A052224 (10), A166311 (11), A235151 (12), A143164 (13), A235225 (14), A235226 (15), A235227 (16), A166370 (17), A235228 (18), A166459 (19), A235229 (20).

%Y Cf. A279772 (sumdigits(2n) = 4), A279773 (sumdigits(3n) = 6), A279774 (sumdigits(4n) = 8), A279775 (sumdigits(5n) = 10), A279776 (sumdigits(6n) = 12), A279770 (sumdigits(7n) = 14), A279768 (sumdigits(8n) = 16), A279769 (sumdigits(9n) = 18), A279777 (sumdigits(9n) = 27).

%K nonn,base,easy

%O 1,1

%A _M. F. Hasler_, Dec 23 2016