24476

Appears in sequences

• Lucas numbers (beginning with 1): L(n) = L(n-1) + L(n-2) with L(1) = 1, L(2) = 3.at n=20A000204
• Associated Mersenne numbers.at n=21A001350
• A Fielder sequence: a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.at n=21A001638
• Bisection of Lucas sequence: a(n) = L(2*n+1).at n=10A002878
• a(n) = 3*a(n-2) - a(n-4), a(0)=0, a(1)=1, a(2)=1, a(3)=4. Alternates Fibonacci (A000045) and Lucas (A000032) sequences for even and odd n.at n=21A005013
• a(n) = floor(phi^n), where phi = (1+sqrt(5))/2 is the golden ratio.at n=21A014217
• Even Lucas numbers: a(n) = L(3*n).at n=7A014448
• Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T2 atom.at n=13A019121
• Numbers k such that k + sum of its prime factors = (k+1) + sum of its prime factors.at n=30A020700
• Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=29A020875
• a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (Lucas numbers), t = A023533.at n=54A024476
• a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = A000032, t = A023533.at n=53A025096
• Numerators of continued fraction convergents to sqrt(20).at n=6A041030
• a(n) = Lucas(4*n+1).at n=5A056914
• Number of ways to place 3 nonattacking queens on a 3 X n board.at n=32A061989
• Numbers k such that sopf(k) + 1 = sopf(k+1), where sopf(k) = A008472(k).at n=21A064111
• a(n) = Lucas(Fibonacci(n)).at n=8A068098
• a(n) = Lucas(n) + (-1)^n + 1.at n=20A068397
• Expansion of (1-2*x)/(1+x-x^2).at n=20A075193
• Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=29A079908