42416

Appears in sequences

• Decimal part of a(n)^(1/5) starts with a 'nine digits' anagram.at n=23A034280
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=8A150611
• G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)^2).at n=7A364393
• Number of subsets of {1,2,...,n} such that no two elements differ by 1 or 5.at n=25A374737
• 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(n+2*r+k,n)/(n+2*r+k) for k > 0.at n=42A378236