A034172 Nearest integer to n!/(2*log(2)^(n+1)).

1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247563, 1622632573, 28091567595, 526858348381, 10641342970443, 230283190977853, 5315654681981355, 130370767029135900, 3385534663256845326

Offset: 0

Author

Dean Hickerson, Oct 01 1998

Keywords

• nonn

Comments

Agrees with A000670 for 0 <= n <= 16.

References

• H. S. Wilf, Generatingfunctionology, Academic Press, NY, 1990, p. 147.

Links

• Eric Weisstein's World of Mathematics, Almost Integer.
• H. S. Wilf, Generatingfunctionology, 2nd edn., Academic Press, NY, 1994, p. 176, Eq. 5.2.8.

Crossrefs

Dominant term in an infinite series for A000670.

Programs

Mathematica

Table[(1/2)*n!/Log[2]^(n+1) // Round, {n, 0, 18}] (* Jean-François Alcover, Dec 28 2017 *)