33042

Appears in sequences

• G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=34A083707
• Centered 47-gonal numbers.at n=37A129428
• Number of length n+6 0..3 arrays with at most two downsteps in every 6 consecutive neighbor pairs.at n=1A255658
• T(n,k)=Number of length n+k 0..3 arrays with at most two downsteps in every k consecutive neighbor pairs.at n=22A255660
• Number of length n+2 0..3 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=5A255662
• Number of 3Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.at n=20A266013
• a(n) = Sum_{d|n} d^tau(n/d).at n=59A345270
• The binary expansion of a(n) is an initial 1 bit then tracks where the swaps occur in the exchange sort algorithm sorting the binary expansion of n into decreasing order.at n=38A380145
• a(1) = 1; a(n) = 2 + n * Sum_{k=1..n-1} a(k).at n=6A383436