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A114473
Number of decimal digits in the 10^n-th Motzkin number.
1
1, 4, 45, 473, 4766, 47705, 477113, 4771203
OFFSET
0,2
LINKS
Takashi Agoh and Horst Alzer, Mean Value Inequalities for Motzkin Numbers, J. Int. Seq., Vol. 24 (2021), Article 21.6.8.
Eric Weisstein's World of Mathematics, Motzkin Number
FORMULA
Lim_{n->oo} log_10(a(n))/n = log_10(3) = 0.477121254719662437295027903... since the real root possessing the smallest absolute value of expression (1-2*x-3*x^2) (found in the g.f.) equals 1/3. - Paul D. Hanna, Dec 01 2005
CROSSREFS
Sequence in context: A346629 A073565 A039657 * A275125 A264123 A304645
KEYWORD
nonn,base
AUTHOR
Eric W. Weisstein, Nov 30 2005
EXTENSIONS
Edited by Charles R Greathouse IV, Aug 05 2010
More terms from Eric Rowland, Oct 23 2015
STATUS
approved