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A114473
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Number of decimal digits in the 10^n-th Motzkin number.
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1
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..7.
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
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FORMULA
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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
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CROSSREFS
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Cf. A001006, A114490.
Sequence in context: A346629 A073565 A039657 * A275125 A264123 A304645
Adjacent sequences: A114470 A114471 A114472 * A114474 A114475 A114476
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KEYWORD
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nonn,base
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AUTHOR
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Eric W. Weisstein, Nov 30 2005
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EXTENSIONS
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Edited by Charles R Greathouse IV, Aug 05 2010
More terms from Eric Rowland, Oct 23 2015
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STATUS
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approved
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