login
A326638
For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least three digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property.
4
100, 1000, 101, 103, 104, 135, 171, 128, 119, 120, 109, 121, 256, 147, 239, 163, 304, 370, 340, 450, 240, 200, 150, 250, 600, 160, 130, 700, 170, 131, 812, 380, 168, 693, 379, 300, 110, 102, 106, 151, 167, 107, 108, 140, 111, 105, 112, 114, 115, 117, 118, 113, 126, 129, 123, 124, 125, 137, 122, 149
OFFSET
1,1
LINKS
EXAMPLE
Here are the first terms of the sequence:
100,1000,101,103,104,135,171,128,119,120,...
and here are the cumulative sums:
100,1100,1201,1304,1408,1543,1714,1842,1961,2081,...
If we align a(n) and its cumulative sum, we see that at least three digits are shared:
100,1000, 101, 103, 104 ,135, 171, 128, 119, 120,...
100,1100,1201,1304,1408,1543,1714,1842,1961,2081,...
CROSSREFS
Cf. A309151 (where no digit is shared by the cumulative sum), A316914 (where one digit is shared instead of three, by the cumulative sum), A316915 (two digits shared), A326639 (four digits shared), A326640 (five digits shared).
Sequence in context: A030024 A232657 A287027 * A284515 A068086 A115691
KEYWORD
base,nonn
AUTHOR
STATUS
approved