A239897 Bisection of A055505.

1, 11, 2447, 238043, 559440199, 29128857391, 9447595434410813, 225037938358318573, 3651003047854884043877, 104388909491649724435759747, 1372557084260440289321615059133, 107881945709178295095123859185817, 98682616643700175634367947900986085893

Offset: 0

Author

N. J. A. Sloane, Apr 05 2014

Keywords

• nonn
• frac

Comments

Based on a very good approximation to e.

Examples

			Numerators of the fractions 1, 11/24, 2447/5760, 238043/580608, ... (see A055505/A055535).
		

Links

• Harlan J. Brothers and John A. Knox,, New closed-form approximations to the logarithmic constant e, Math. Intelligencer, 20 (1998), 25-29. MR1646709 (2000c:11209).
• Chao-Ping Chen and Junesang Choi, An Asymptotic Formula for (1+1/x)^x Based on the Partition Function, Amer. Math. Monthly 121 (2014), no. 4, 338-343. MR3183017.
• John A. Knox and Harlan J. Brothers, Novel series-based approximations to e, College Math. J. 30 (1999), no. 4, 269-275. MR1717867 (2000i:11198).

Crossrefs

Cf. A055505/A055535, A239898 (denominators).

Extensions

More terms from Amiram Eldar, May 08 2024