editing

approved

a(n) converges to the Fibonacci word A003842.

approved

editing

FromDigits /@ NestList[ Flatten[ # /. {1 -> {1, 2}, 2 -> 1}] &, {1}, 8] (from _Robert G. Wilson v (rgwv(AT)rgwv.com), _, May 17 2005)

More terms from _Robert G. Wilson v (rgwv(AT)rgwv.com), _, May 17 2005

_N. J. A. Sloane (njas(AT)research.att.com), _, May 16 2005

Define the "Fibonacci" morphism f: 1->12, 2->1, and let a(0) = 1; then a(n+1) = f(a(n)).

nonn,new

nonn

N. J. A. Sloane (njas, (AT)research.att.com), May 16 2005

E. Bombieri and J. Taylor, Which distribution of matter diffracts? An initial inverstigation, investigation, in International Workshop on Aperiodic Crystals (Les Houches, 1986), J. de Physique, Colloq. C3, 47 (1986), C3-19 to C3-28.

nonn,new

nonn

Define the "Fibonacci" morphism f: 1->12, 2->1, and let a(0) = 1; then a(n+1) = f(a(n)).

1, 12, 121, 12112, 12112121, 1211212112112, 121121211211212112121, 1211212112112121121211211212112112, 1211212112112121121211211212112112121121211211212112121

0,2

E. Bombieri and J. Taylor, Which distribution of matter diffracts? An initial inverstigation, in International Workshop on Aperiodic Crystals (Les Houches, 1986), J. de Physique, Colloq. C3, 47 (1986), C3-19 to C3-28.

FromDigits /@ NestList[ Flatten[ # /. {1 -> {1, 2}, 2 -> 1}] &, {1}, 8] (from Robert G. Wilson v (rgwv(AT)rgwv.com), May 17 2005)

Cf. A106748, A106749, A003842.

nonn

njas, May 16 2005

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), May 17 2005

approved