23823

Appears in sequences

• Number of walks of length 2n on the 3-regular tree beginning and ending at some fixed vertex.at n=6A089022
• Number of parts in all compositions of n into distinct parts.at n=22A097910
• Expansion of c(2*x^2)/(1-x*c(2*x^2)), where c(x) = (1-sqrt(1-4*x))/(2*x) is the g.f. of the Catalan numbers (A000108).at n=12A126087
• a(0)=2, a(n) = n^2+a(n-1).at n=41A153056
• Smallest of three consecutive integers divisible respectively by three consecutive squares greater than 1.at n=6A178919
• a(n) = A056520(n)+1 for n>0, a(0)=1.at n=41A179904
• Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0) that can be built by repeatedly inserting doublets into the initially empty word.at n=51A183135
• Number of partitions p of n such that (number of numbers in p of form 3k) < (number of numbers in p of form 3k+1).at n=41A241743
• Starts of runs of 3 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039).at n=13A348077
• Starts of runs of 3 consecutive numbers that have an equal number of unitary and nonunitary prime divisors (A348097).at n=23A348099
• G.f. A(x) satisfies A(x) = 1 + x * A(x)^8 / (1 - x).at n=5A349335