A195206 Number of 1s in the first 10^n entries of the Kolakoski sequence, A000002.
1, 5, 49, 502, 4996, 49972, 499986, 5000046, 50000675, 500001223, 4999997671, 50000001587, 500000050701, 5000000008159, 50000000316237, 500000000977421, 4999999994637728, 49999999977479348, 499999999944465105, 4999999999725703450, 49999999999090850760
Offset: 0
Keywords
Examples
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.
Links
- 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), 549-552.
- Michael Rao, Trucs et bidules sur la séquence de Kolakoski, 2012, in French.
- Ed Wynn, C program to calculate A195206 (and A195211 etc)
Crossrefs
Cf. A000002.
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