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A216813 Sum of tail length of S over all 2^n strings S consisting of n 2's and 3's. 4
0, 3, 6, 18, 39, 96, 201, 582, 1220, 2590, 5345, 10919, 21859, 44167, 88629, 178050, 356598, 715084, 1431514, 2866876, 5736311, 11480839, 22966942, 45949687, 91910241, 183852468, 367726473, 735517466, 1471078571, 2942286009, 5884661772, 11769583511, 23539346216, 47079214312, 94158788295 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
"Tail length" is defined in A216730.
LINKS
Benjamin Chaffin and N. J. A. Sloane, Table of n, a(n) for n = 1..40
B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, arXiv:1212.6102, Dec 25 2012.
B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3.
FORMULA
a(n) = A094005(n) - n*2^n.
Up to n=32, the average tail length a(n)/2^n seems to be approaching a number around 2.74.
CROSSREFS
Sequence in context: A160505 A081150 A362014 * A356766 A181037 A222856
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Sep 18 2012 - Sep 21 2012, Oct 23 2012
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)