A114473 Number of decimal digits in the 10^n-th Motzkin number.
1, 4, 45, 473, 4766, 47705, 477113, 4771203
Offset: 0
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
Extensions
Edited by Charles R Greathouse IV, Aug 05 2010
More terms from Eric Rowland, Oct 23 2015