45316

Appears in sequences

• Number of compositions of n into divisors of n.at n=18A100346
• Number of nX2 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order.at n=7A166839
• Partial sums of primes in which no digit is a prime A061372.at n=13A172523
• Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*x^n), where o.g.f. A(x) satisfies A(x)=(1+x*A(x)^3)/(1-x*A(x)^3).at n=22A187920
• Number of compositions of n into powers of 3 and doubled powers of 3.at n=18A235684
• Total number of P shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.at n=6A247739
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood.at n=7A273611
• G.f. satisfies A(x) = 1 + x * A(x)^(3/2) * (1 + A(x)^(1/2))^2.at n=5A371675
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(3*n+r+k,n)/(3*n+r+k) for k > 0.at n=33A378238