A130427 - OEIS

%I #13 Oct 04 2023 05:16:02

%S 0,10000000000,20000000000,30000000000,40000000000

%N Complete list of all 5 numbers n such that n is equal to the number of 5's in the decimal digits of all numbers <= n.

%H Tanya Khovanova and Gregory Marton, <a href="https://arxiv.org/abs/2305.10357">Archive Labeling Sequences</a>, arXiv:2305.10357 [math.HO], 2023. See p. 4.

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

%Y Cf. A014778 for proof these sequences are finite; Also A101639, A101640, A101641, A130428, A130429, A130430, A130431; Cf. A130432 for the number of numbers in these sequences.

%K nonn,base,fini,full

%O 1,2

%A _Graeme McRae_, May 26 2007