OFFSET
0,3
COMMENTS
Main diagonal of A059202.
REFERENCES
G. Kilibarda and V. Jovovic, "Enumeration of some classes of T_0-hypergraphs", in
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..59
Goran Kilibarda and Vladeta Jovovic, Enumeration of some classes of T_0-hypergraphs, arXiv:1411.4187 [math.CO], 2014.
FORMULA
a(n) = Sum_{k=0..n+1} Stirling1(n+1, k)*binomial(2^(k-1)-1, n).
a(n) ~ binomial(2^n,n). - Vaclav Kotesovec, Mar 18 2014
MATHEMATICA
f[n_] := Sum[ StirlingS1[n + 1, k] Binomial[2^(k - 1) - 1, n], {k, 0, n + 1}]; Table[ f[n], {n, 0, 12}] (* Robert G. Wilson v, Jun 01 2004 *)
PROG
(PARI) a(n) = sum(k=0, n+1, stirling(n+1, k, 1)*binomial(2^(k-1)-1, n)); \\ Michel Marcus, Dec 17 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Goran Kilibarda and Vladeta Jovovic, May 30 2004
EXTENSIONS
More terms from Robert G. Wilson v, Jun 01 2004
STATUS
approved