login
A326639
For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least four digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property.
4
1000, 10000, 1001, 1003, 1004, 1035, 1061, 1127, 1184, 1095, 1200, 2300, 2050, 2370, 1280, 1300, 1030, 3040, 1530, 3950, 4390, 4080, 5030, 1040, 6000, 1600, 3600, 7200, 2700, 8300, 3800, 1800, 1002, 1129, 1936, 1649, 1296, 1799, 1090, 1010, 1012, 1020, 1038, 1008, 1005, 1006, 1007, 1011, 1013, 1014, 1105, 1120, 1031
OFFSET
1,1
LINKS
EXAMPLE
Here are the first terms of the sequence:
1000,10000,1001,1003,1004,1035,1061,1127,1184,...
and here are the cumulative sums:
1000,11000,12001,13004,14008,15043,16104,17231,18415,...
If we align a(n) and its cumulative sum, we see that at least four digits are shared:
1000,10000, 1001, 1003, 1004, 1035 ,1061, 1127, 1184,...
1000,11000,12001,13004,14008,15043,16104,17231,18415,...
CROSSREFS
Cf. A309151 (no digit is shared by the cumulative sum instead of four digits here), A316914 (one digit is shared), A316915 (two digits shared), A326638 (three digits shared), A326640 (five digits shared).
Sequence in context: A019548 A017271 A017511 * A379270 A017643 A161770
KEYWORD
base,nonn
AUTHOR
STATUS
approved