A217399 Numbers starting with 6.

6, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642

Offset

1,1

Comments

The lower and upper asymptotic densities of this sequence are 1/54 and 10/63, 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 + (53*10^floor(log_10(9*n-8))-8)/9. - Alan Michael Gómez Calderón, May 17 2023

Maple

seq(seq(6*10^n+k, k=0..10^n-1), n=0..3); # Robert Israel, May 08 2017

Mathematica

Select[Range[1000], IntegerDigits[#][[1]] == 6 &] (* T. D. Noe, Oct 02 2012 *)

Prog

(PARI) isok(n) = digits(n)[1] == 6; \\ Michel Marcus, May 08 2017
(GAP) Flat(List([0..2], n->List([0..10^n-1], k->6*10^n+k))); # Muniru A Asiru, Nov 21 2018
(Magma) [n: n in [1..1600] | Intseq(n)[#Intseq(n)] eq 6]; // Vincenzo Librandi, Nov 24 2018

Crossrefs

Cf. A000870, A011536.

Subsequences include: A045712, A077331, A077682, A106416, A106426.

Cf. A131835, A217394, A217395, A217397, A217398, A217400, A217401, A217402.

Sequence in context: A271964 A237576 A229097 * A098185 A173904 A308413

Adjacent sequences: A217396 A217397 A217398 * A217400 A217401 A217402

Keyword

nonn,base,easy

Author

Jeremy Gardiner, Oct 02 2012

Status

approved