44196

Appears in sequences

• Satisfies A^2 = BINOMIAL(A090358^3), where A090358^6 = BINOMIAL(A090358^5).at n=5A090361
• Number of partitions of 2n in which both odd parts and parts that are multiples of 3 occur with even multiplicities. There is no restriction on the other even parts.at n=29A101230
• Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2.at n=31A214503
• Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.at n=44A214563
• Numbers that are the sum of seven fourth powers in nine or more ways.at n=18A345575
• Numbers that are the sum of seven fourth powers in exactly nine ways.at n=17A345831
• Square table, read by antidiagonals: the g.f. for row n is given recursively by (3*n-1)*x*R(n,x) = 1 + (3*n-4)*x - 1/R(n-1,x) for n >= 1 with the initial value R(0,x) = Sum_{k >= 0} A112936(k+1)*x^k.at n=49A355793
• a(n) is the unique nonnegative integer whose binary expansion is the parity sequence of the Collatz orbit of n, interpreted through a particular conjugacy (see Comments).at n=35A389685