A114470 Number of decimal digits in Delannoy[10^n].

1, 7, 76, 764, 7654, 76553, 765549, 7655510

Offset: 0

Author

Eric W. Weisstein, Nov 30 2005

Keywords

• nonn
• base

Links

• Eric Weisstein's World of Mathematics, Delannoy Number

Crossrefs

Cf. A001850, A114472.

Formula

Limit[Log[10, a(n)]/n, n->Infinity] = Log[10, 3+2*sqrt(2) ] = 0.765551370675726156638799048... since the real root possessing the smallest absolute value of expression (1-6*x+x^2) (found in the g.f.) equals 1/(3+2*sqrt(2)). (See A104178). - Paul D. Hanna, Dec 01 2005