

A195206


Number of 1s in the first 10^n entries of the Kolakoski sequence, A000002.


4



1, 5, 49, 502, 4996, 49972, 499986, 5000046, 50000675, 500001223, 4999997671, 50000001587, 500000050701, 5000000008159, 50000000316237, 500000000977421, 4999999994637728, 49999999977479348, 499999999944465105, 4999999999725703450, 49999999999090850760
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..20.
J. Nilsson, A Space Efficient Algorithm for the Calculation of the Digit Distribution in the Kolakoski Sequence, arXiv preprint arXiv:1110.4228 [math.CO], 2011, J. Int. Seq. 15 (2012) #12.6.7
J. Nilsson, Letter Frequencies in the Kolakoski Sequence, Acta Physica Polonica A, 126 (2014), 549552.
Ed Wynn, C program to calculate A195206 (and A195211 etc)


EXAMPLE

The first entries of the Kolakoski sequence, A000002, are 1221121221... From this we see that a(0)=1, since the first letter is 1, and a(1)=5 since among the first 10 letters 5 of them are 1s.


CROSSREFS

Cf. A000002.
Sequence in context: A001079 A146311 A212818 * A081474 A274671 A112241
Adjacent sequences: A195203 A195204 A195205 * A195207 A195208 A195209


KEYWORD

nonn


AUTHOR

Johan Nilsson, Sep 13 2011


EXTENSIONS

a(14) from Ed Wynn, Jun 24 2014
a(15)a(19) from Richard P. Brent, Jul 02 2017
a(20) from Richard P. Brent, Mar 01 2018


STATUS

approved



