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A202272 Numbers n with k digits such that each sum of 1, 2, ..., k digits of n is substring of n. 2
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 200, 300, 400, 500, 600, 700, 800, 910, 1000, 1009, 1090, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 9010, 9100, 10000, 10009, 10090, 10900, 20000, 30000, 40000, 50000, 60000, 70000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Conjecture: sequence contains only

- numbers of form k*10^j (j>=0, k>=0),

- numbers of form 10X, where X = string of k digits containing one digit 9 and k-1 digits 0 (k>=1),

- numbers of form 9Y10Z; where Y = string of k digits 0 (k>=0), Z = string of j digits 0 (j>=0).

Subsequence of A052018.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

Number 109 is in sequence becasuse all possible sums of digits 0, 1, 1, 9, 9, 10 are his substrings.

CROSSREFS

Cf. A052018 (numbers n such that the sum of the digits of n is substring of n).

Sequence in context: A236402 A052018 A302768 * A180480 A080459 A093475

Adjacent sequences:  A202269 A202270 A202271 * A202273 A202274 A202275

KEYWORD

nonn,base

AUTHOR

Jaroslav Krizek, Jan 06 2012

STATUS

approved

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Last modified December 5 12:04 EST 2021. Contains 349557 sequences. (Running on oeis4.)