2391485

Appears in sequences

• a(n) = (3^n + 1)/2.at n=14A007051
• a(n) = 2*a(n-1) + 3*a(n-2), a(0) = a(1) = 1.at n=14A046717
• Number of periodic palindromic structures of length n using a maximum of three different symbols.at n=29A056504
• Binomial transform of Jacobsthal gap sequence (A080924).at n=14A080925
• Table T(m,n) = (3^m + 5^n)/2, for m, n = 0, 2, 4, 6, ... read by antidiagonals downwards.at n=35A081458
• a(n) = (3^(2*n) + 1) / 2.at n=7A083884
• a(n) = n*3^(n-1) + (3^n + 1)/2.at n=12A086972
• a(n) = n! * Sum_{i+2j+3k=n} 1/(i!*(2j)!*(3k)!).at n=15A094717
• a(n) = 3*a(n-1) + a(n-2) - 3*a(n-3).at n=14A103425
• An inverse Catalan transform of A003462.at n=27A106233
• An inverse Catalan transform of A003462.at n=28A106233
• Number of set partitions with at most 3 blocks; number of Dyck paths of height at most 4; dimension of space of symmetric polynomials in 3 noncommuting variables.at n=15A124302
• a(n) = 3*a(n-1) - a(n-3) + 3*a(n-4), with initial values 2,5,13,40.at n=13A133448
• a(0)=1; a(3n+1) = a(3n)+1, a(3n+2) = a(3n+1) + a(3n) (=3*A000244), a(3n+3) = a(3n+2) + a(3n) (=A003462(n+2)).at n=40A140298
• a(n) = (3*3^n-(-1)^n)/2.at n=13A164907
• a(n) = (3^n+1)/(3-(-1)^n).at n=14A167205
• Number of compositions of even natural numbers in 7 parts <= n.at n=8A191494
• Unitary anti-perfect numbers.at n=16A240968
• Permutation of natural numbers, the even bisection of A241909 incremented by one and halved; equally, a composition of A241909 and A048673: a(n) = A048673(A241909(n)).at n=42A243066
• Permutation of natural numbers: a(n) = A048673(A122111(n)).at n=42A243506