A130431 Complete list of all 9 numbers n such that n is equal to the number of 9's in the decimal digits of all numbers <= n.

0, 10000000000, 20000000000, 30000000000, 40000000000, 50000000000, 60000000000, 70000000000, 80000000000

Offset

1,2

Links

Table of n, a(n) for n=1..9.

Tanya Khovanova and Gregory Marton, Archive Labeling Sequences, Amer. Math. Monthly 132(8) (2025) 780-787. See p. 783 (Table 2). See also arXiv:2305.10357 [math.HO], 2023. See p. 4.

Example

a(5)=40000000000 because the number of 9's in the decimal digits of the numbers from 0 to 40000000000 is 40000000000 and this is the 5th such number.

Crossrefs

Cf. A014778 for proof these sequences are finite; Also A101639, A101640, A101641, A130427, A130428, A130429, A130430; Cf. A130432 for the number of numbers in these sequences.

Sequence in context: A055619 A057072 A130427 * A017182 A017278 A017518

Adjacent sequences: A130428 A130429 A130430 * A130432 A130433 A130434

Keyword

base,fini,nonn,full

Author

Graeme McRae, May 26 2007

Status

approved