A217402 Numbers starting with 9.

9, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942

Offset

1,1

Comments

The lower and upper asymptotic densities of this sequence are 1/81 and 1/9, respectively. - Amiram Eldar, Feb 27 2021

Links

Jeremy Gardiner, Table of n, a(n) for n = 1..1111

Index entries for 10-automatic sequences.

Formula

a(n) = n + (80*10^floor(log_10(9*n-8))-8)/9. - Alan Michael Gómez Calderón, May 17 2023

Mathematica

Select[Range[1000], IntegerDigits[#][[1]] == 9 &] (* T. D. Noe, Oct 02 2012 *)

Crossrefs

Cf. A000981, A011539.

Subsequences include: A077685, A045715, A106419, A106429, A077334.

Cf. A131835, A217394, A217395, A217397, A217398, A217399, A217400, A217401.

Sequence in context: A187090 A078248 A186943 * A261908 A121029 A097256

Adjacent sequences: A217399 A217400 A217401 * A217403 A217404 A217405

Keyword

nonn,base,easy

Author

Jeremy Gardiner, Oct 02 2012

Status

approved