The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A130431 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#7 by Michael De Vlieger at Wed May 24 17:19:40 EDT 2023

STATUS

reviewed

approved

#6 by Michel Marcus at Wed May 24 17:16:34 EDT 2023

STATUS

proposed

reviewed

#5 by Michael De Vlieger at Wed May 24 13:35:12 EDT 2023

STATUS

editing

proposed

#4 by Michael De Vlieger at Wed May 24 13:35:11 EDT 2023

LINKS

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.

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 18:34:45 EDT 2012

AUTHOR

_Graeme McRae (g_m(AT)mcraefamily.com), _, May 26 2007

Discussion

Fri Mar 30

18:34

OEIS Server: https://oeis.org/edit/global/196

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

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.

KEYWORD

base,fini,nonn,full,new

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

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.

DATA

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

OFFSET

1,2

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.

KEYWORD

base,fini,nonn,full

AUTHOR

Graeme McRae (g_m(AT)mcraefamily.com), May 26 2007

STATUS

approved