A316915 For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least two digits with a(k). Lexicographic first sequence of positive integers without duplicate terms having this property.

10, 100, 11, 13, 14, 16, 18, 20, 12, 23, 26, 29, 32, 35, 39, 24, 46, 51, 45, 40, 67, 74, 27, 19, 21, 90, 101, 30, 41, 106, 15, 61, 17, 31, 33, 37, 84, 50, 56, 62, 69, 47, 81, 91, 102, 60, 71, 92, 22, 28, 112, 34, 42, 25, 52, 117, 72, 82, 38, 95, 80, 103, 43, 73, 133, 36, 93, 53, 63, 70, 78, 83, 59, 49, 104

Offset

1,1

Links

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

Example

Here are the first terms of the sequence:
10,100,11,13,14,16,18,20,12,23,26,29,32,...
and here are the cumulative sums:
10,110,121,134,148,162,180,200,212,235,261,290,322,...
If we align a(n) and its cumulative sum, we see that at least two digits are shared:
  10,100, 11, 13, 14, 16, 18, 20, 12, 23, 26, 29, 32,...
  10,110,121,134,148,162,180,200,212,235,261,290,322,...

Crossrefs

Cf. A316914 (where one digit is shared instead of two, by the cumulative sum).

Sequence in context: A355893 A228410 A119589 * A352575 A266798 A268449

Adjacent sequences: A316912 A316913 A316914 * A316916 A316917 A316918

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Jul 16 2018

Status

approved