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A114473 Number of decimal digits in the 10^n-th Motzkin number. 1
1, 4, 45, 473, 4766, 47705, 477113 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Eric Weisstein's World of Mathematics, Motzkin Number

FORMULA

Limit[Log[10, a(n)]/n, n->Infinity] = 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 Hanna, Dec 01, 2005

CROSSREFS

Cf. A001006, A114490.

Sequence in context: A055602 A073565 A039657 * A126747 A107668 A197989

Adjacent sequences:  A114470 A114471 A114472 * A114474 A114475 A114476

KEYWORD

nonn,base

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Nov 30, 2005

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 05 2010

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.