A096233 Number of digits of the 10^n-th tribonacci number (A000073).

2, 26, 264, 2646, 26464, 264649, 2646494, 26464944, 264649443, 2646494434, 26464944348, 264649443484, 2646494434842, 26464944348425, 264649443484250, 2646494434842508, 26464944348425087

Offset: 0

Author

Michael Taktikos, Aug 09 2004

Keywords

• nonn
• easy
• base

Comments

a(n)/10^n tends towards log[10](rho) = .26464944348425087191..., where rho is the real root of x^3-x^2-x-1 = 0. - Vladeta Jovovic, Sep 01 2004

Crossrefs

Cf. A068070.

Programs

Mathematica

rho=1/3*((19+3*Sqrt[33])^(1/3)+(19-3*Sqrt[33])^(1/3)+1); triboappr[n_]:=N[(rho-1)/(4rho-6)*rho^(n-3), 3000]; Table[MantissaExponent[triboappr[10^i]][[2]], {i, 1, 7}]