98290

Appears in sequences

• Expansion of (1+x)(1+x^2)/(1-x-x^3).at n=29A003410
• Expansion of (1 - x^2)/(1 - x - x^3).at n=33A058278
• a(n) = Sum_{k=0..n} C(n-k, floor(k/2)).at n=30A097333
• a(0) = 1, a(1) = 2, a(2) = 5; for n >= 3, a(n) = a(n-1) + 2*a(n-2) + a(n-3).at n=15A101399
• a(n) = a(n-3) + 2*a(n-6) + a(n-9).at n=45A109533
• Positions of the positive integers in the ordering of rational numbers as generated by the rules: 1 is in S, and if nonzero x is in S, then x+1 and -1/x are in S. (See Comments.)at n=28A226136
• Positions of the integers in the ordering of rational numbers as generated by the rules: 1 is in S, and if nonzero x is in S, then x+1 and -1/x are in S. (See Comments.)at n=38A226137
• Number of new rationals produced at the n-th iteration by applying the map t -> {t+1, -1/t} to nonzero terms, starting with S[0] = {1}.at n=30A226275
• E.g.f. A(x) satisfies A(x) = 1/( 1 - x * A(x) * cosh(x * A(x)) )^2.at n=5A381478