A326640 For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property.

10000, 100000, 10001, 10003, 10004, 10035, 10061, 10127, 10184, 10095, 10200, 10320, 23040, 12640, 13600, 10720, 12380, 12600, 13000, 10390, 23400, 15300, 13700, 19300, 10400, 14600, 14000, 40700, 30500, 15600, 14500, 15700, 25700, 30600, 10600, 68000, 20000, 17000, 67000, 48000, 28000, 95000, 70000, 10002, 10007

Offset

1,1

Links

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

Example

Here are the first terms of the sequence:
10000,100000,10001,10003,10004,10035,10061,10127,...
and here are the cumulative sums:
10000,110000,120001,130004,140008,150043,160104,170231,...
If we align a(n) and its cumulative sum, we see that at least five digits are shared:
10000,100000, 10001, 10003, 10004, 10035, 10061, 10127,...
10000,110000,120001,130004,140008,150043,160104,170231,...

Crossrefs

Cf. A309151 (no digit is shared by the cumulative sum instead of five here), A316914 (one digit is shared), A316915 (two digits shared), A326638 (three digits shared), A326639 (four digits shared).

Sequence in context: A043492 A167149 A277398 * A017176 A017272 A017512

Adjacent sequences: A326637 A326638 A326639 * A326641 A326642 A326643

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Jul 15 2019

Status

approved