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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. 5
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 (list; graph; refs; listen; history; text; internal format)
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: A284200 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

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Last modified June 29 15:47 EDT 2022. Contains 354913 sequences. (Running on oeis4.)