101040

Appears in sequences

• a(1)=1, a(n)=a(n-1)+n^3 if n odd, a(n)=a(n-1)+ n^0 if n is even.at n=29A140152
• a(n) = (1/n) * Sum_{d|n} moebius(n/d) * Lucas(d)^4, where Lucas(n) = A000204(n).at n=6A203855
• a(n) = n + (n base 2 regarded as a decimal number).at n=40A269130
• Inflation orbit counts c^(4)(n) for the Elser-Sloane tiling.at n=6A329490
• Expansion of e.g.f. exp( 2 * x * (exp(x) - 1) ).at n=8A351733
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} k^j * Stirling2(n-j,j)/(n-j)!.at n=63A361652