A316914 For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least one digit of a(k). Lexicographic first sequence of positive integers without duplicate terms having this property.

1, 10, 12, 2, 13, 4, 15, 6, 7, 3, 8, 9, 5, 11, 14, 16, 17, 18, 19, 20, 21, 22, 23, 26, 24, 25, 27, 30, 31, 34, 29, 32, 28, 35, 33, 36, 37, 40, 38, 42, 41, 39, 43, 48, 46, 44, 51, 49, 52, 59, 45, 47, 54, 60, 50, 56, 58, 57, 53, 61, 69, 62, 63, 55, 64, 67, 68, 72, 71, 70, 65, 66, 73, 74, 75

Offset

1,2

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001

Example

Here are the first terms of the sequence:
1,10,12,2,13,4,15,6,7,3,8,9,5,11,14,16,...
and here are the cumulative sums:
1,11,23,25,38,42,57,63,70,73,81,90,95,106,120,136,...
If we align a(n) and its cumulative sum, we see that at least one digit is shared:
1,10,12, 2,13, 4,15, 6, 7, 3, 8, 9, 5, 11, 14, 16,...
1,11,23,25,38,42,57,63,70,73,81,90,95,106,120,136,...

Crossrefs

Sequence in context: A273463 A283430 A278856 * A350444 A342356 A338290

Adjacent sequences: A316911 A316912 A316913 * A316915 A316916 A316917

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Jul 16 2018

Status

approved