login
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.
6
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
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
KEYWORD
base,nonn
AUTHOR
STATUS
approved