A320081 Lexicographically earliest sequence of distinct terms such that the cumulative sum [a(1)+a(2)+a(3)+... a(n)] is a multiple of the cumulative sum of the digits used by [a(1)+a(2)+a(3)... +a(n)].

1, 2, 3, 4, 5, 6, 7, 8, 9, 63, 18, 90, 27, 105, 12, 24, 36, 48, 162, 45, 312, 21, 42, 84, 234, 72, 261, 81, 308, 10, 20, 30, 40, 50, 60, 70, 80, 322, 198, 486, 108, 414, 117, 156, 195, 594, 126, 504, 135, 531, 144, 192, 288, 690, 153, 621, 601, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399, 821, 180, 810, 378, 912, 132, 264, 396, 1752, 216, 1095, 150, 225, 375, 2603, 112, 140, 224, 252, 280, 336

Offset

1,2

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..5001

Example

The sum of the first 9 terms is 45; the 10th term is 63 as the sum 45 + 63 (=108) is a multiple of 45+6+3 (=54);
the sum of the first 10 terms is 108; the 11th term is 18 as the sum 108 + 18 (=126) is a multiple of 54+1+8 (=63);
the sum of the first 11 terms is 126; the 12th term is 90 as the sum 126 + 90 (=216) is a multiple of 63+9+0 (=72);
the sum of the first 12 terms is 216; the 13th term is 27 as the sum 216 + 27 (=243) is a multiple of 72+2+7 (=81);
etc.

Crossrefs

Sequence in context: A102493 A024661 A107070 * A243507 A243023 A243024

Adjacent sequences: A320078 A320079 A320080 * A320082 A320083 A320084

Keyword

nonn,base,look

Author

Eric Angelini and Jean-Marc Falcoz, Oct 05 2018

Status

approved