A220812 Denominators of the Verhulst sequence x(n+1)=4*x(n)-3*x(n)^2, x(0)=1/10.

10, 100, 10000, 100000000, 10000000000000000, 100000000000000000000000000000000, 10000000000000000000000000000000000000000000000000000000000000000

Offset: 0

Author

Reinhard Zumkeller, Dec 22 2012

Keywords

• nonn
• frac
• easy

References

• H. O. Peitgen and P. H. Richter, The Beauty of Fractals. Springer, 1986, p. 23f.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..9
• Eric Weisstein's World of Mathematics, Logistic Equation
• Wikipedia, Logistic map

Crossrefs

Cf. A051840, A220811 (numerators).

Programs

Haskell

a220812 = a011557 . a000079  -- Reinhard Zumkeller, Dec 22 2012

Formula

a(n) = 10^(2^n) = A011557(A000079(n)). - Reinhard Zumkeller, Dec 22 2012