OFFSET
0,2
COMMENTS
Diagonal of Euler-Seidel matrix with start sequence A000670.
FORMULA
a(n) = Sum_{k=0..n} binomial(n, k) * A000670(2*n-k).
a(n) ~ (2*n)! / (sqrt(2) * (log(2))^(2*n+1)). - Vaclav Kotesovec, May 03 2015
a(n) = Sum_{k>=0} (k*(k + 1))^n/2^(k+1). - Ilya Gutkovskiy, Jun 29 2019
MATHEMATICA
Table[Sum[Binomial[n, k] * Sum[StirlingS2[2*n-k, j]*j!, {j, 0, 2*n-k}], {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, May 03 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Ralf Stephan, Sep 23 2004
EXTENSIONS
Offset corrected by Vaclav Kotesovec, May 03 2015
STATUS
approved