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Smoothed lengths of the B blocks in analysis of A090822.
1

%I #12 Aug 05 2018 11:32:15

%S 1,3,9,19,46,93,189,379,782,1565,3133,6267,12542,25085,50173,100347,

%T 200761,401523,803049,1606099,3212206,6424413,12848829,25697659,

%U 51395342,102790685,205581373,411162747,822325502,1644651005,3289302013,6578604027,13157208249

%N Smoothed lengths of the B blocks in analysis of A090822.

%H F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL10/Sloane/sloane55.html">A Slow-Growing Sequence Defined by an Unusual Recurrence</a>, J. Integer Sequences, Vol. 10 (2007), #07.1.2.

%H F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [<a href="http://neilsloane.com/doc/gijs.pdf">pdf</a>, <a href="http://neilsloane.com/doc/gijs.ps">ps</a>].

%H <a href="/index/Ge#Gijswijt">Index entries for sequences related to Gijswijt's sequence</a>

%F a(1) = 1; for n > 1, a(n+1) = 2*a(n) + A091839(n).

%F This roughly doubles at each step and a(n) -> 1.5317006328915480... * 2^n.

%Y Cf. A090822, A091839, A091411.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jul 10 2004