A130432 For digit n from 1 to 9, a(n) = the number of numbers m such that m is equal to the number of n's in the decimal digits of all numbers <= m.

84, 14, 36, 48, 5, 72, 49, 344, 9

Offset: 1

Author

Graeme McRae, May 26 2007

Keywords

• base
• fini
• nonn
• full

Comments

Note: sequences A101639, A101640 and A101641 are defined so that they exclude 0, so they have 13, 35 and 47 elements, respectively. This sequence counts all the zeros, so elements 2,3,4 of this sequence are 14,36,48.

Examples

			a(3)=36 because there are 36 numbers m such that m is equal to the number of 3's in the decimal digits of all numbers <= m.
		

Links

• Tanya Khovanova and Gregory Marton, Archive Labeling Sequences, arXiv:2305.10357 [math.HO], 2023. See p. 4.

Crossrefs

See A014778 for proof that these sequences are finite and also A101639, A101640, A101641, A130427, A130428, A130429, A130430, A130431 for the numbers themselves.