0,2
Table of n, a(n) for n=0..6.
a(n) = Sum_{k=0..2^n} k!*Stirling2(2^n,k).
a(n) = A000670(A000079(n)).
Table[Sum[k^(2^n)/2^(k + 1), {k, 0, Infinity}], {n, 0, 6}]
Table[Sum[k! StirlingS2[2^n, k], {k, 0, 2^n}], {n, 0, 6}]
Cf. A000079, A000670, A008277, A135085.
Sequence in context: A336062 A320306 A238000 * A089301 A037110 A168385
Adjacent sequences: A308863 A308864 A308865 * A308867 A308868 A308869
nonn
Ilya Gutkovskiy, Jun 29 2019
approved