%I #12 Jun 14 2019 00:30:06
%S 4,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3,4,3,4,
%T 3,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3,4,3,4,
%U 3,3,4,3,3,4,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3,4,3,3,4,3,4,3,3
%N Tribonacci version of A076662 using beta positive real Pisot root of x^3 - x^2 - x - 1.
%C Three part composition of sequence based on the Fibonacci substitution twos order.
%F b(n) = 1 + ceiling((n-1)*beta); a(n) = b(n) - b(n-1).
%t NSolve[x^3 - x^2 - x - 1 = 0, x] beta = 1.8392867552141612 a[n_] = 1 + Ceiling[(n - 1)*beta^2] (* A007066 like*) aa = Table[a[n], {n, 1, 100}] (* A076662-like *) b = Table[a[n] - a[n - 1], {n, 2, Length[aa]}] F[1] = 2; F[n_] := F[n] = F[n - 1] + b[[n]] (* A000195-like *) c = Table[F[n], {n, 1, Length[b] - 1}]
%Y Cf. A007066, A076662, A000195.
%K nonn,uned
%O 0,1
%A _Roger L. Bagula_, Jun 13 2005
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