64078

Appears in sequences

• a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=22A001610
• Number of restricted circular combinations.at n=21A006499
• Number of (marked) cyclic n-bit binary strings containing no runs of length > 2.at n=22A007040
• Inflation orbit counts.at n=22A031367
• a(n) = Lucas(4n+3) - 1, or Lucas(2n+1)*Lucas(2n+2).at n=5A081019
• a(n) = Lucas(n) + (-1)^n.at n=23A099925
• Numbers that are the sum of exactly two sets of Fibonacci numbers.at n=40A122194
• Expansion of f(-q)^2 * Q(q) in powers of q.at n=15A122266
• a(n) = A014217(n+1) - A115360(n+2).at n=21A142584
• Row sums of triangle defined in A096539.at n=8A160909
• Continued fraction expansion for exp( Sum_{n>=1} 1/(n*Lucas(n)) ), where Lucas(n) = A000032(n) = ((1+sqrt(5))/2)^n + ((1-sqrt(5))/2)^n.at n=32A174505
• Numbers that have 11 terms in their Zeckendorf representation.at n=22A179251
• Expansion of (psi(-x) * phi(x)^4)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=45A209942
• a(n) = L(n)*L(n+1), where L = A000032 (Lucas numbers).at n=11A215602
• Expansion of f(-q^3)^2 * Q(q^3) + 48 * q * f(-q^3)^10 in powers of q.at n=45A234565
• List of numbers L - 1 and L, where L = A000032, the Lucas numbers, sorted into increasing order and duplicates removed.at n=43A259625
• Expansion of x*(1 + 2*x)/((1 - x)*(1 + x)*(1 - x - x^2)).at n=22A301653
• Number of nonempty subsets of {1, ..., n} containing no two cyclically successive elements.at n=23A324015
• If n even, a(n) = A000071(n/2+1); if n odd, a(n) = A001610((n-1)/2).at n=45A339572
• Define f(x) = abs(1-1/x) and sequence {b(m)} such that b(m+1) = f(b(m)). a(n) is the number of initial values b(1) such that {b(m)}'s period has length n.at n=22A378853