A194541 Partial sums of A004080.

1, 5, 16, 47, 130, 357, 973, 2647, 7197, 19564, 53181, 144561, 392958, 1068172, 2903593, 7892784, 21454811, 58320223, 158530804, 430931404, 1171393005, 3184176320, 8655488630, 23528057461, 63955891057, 173850136486, 472573666887, 1284588411309

Offset: 1

Author

Joseph Foley, Aug 28 2011

Keywords

• nonn

Comments

The ratio of a(n) to A004080(n+1) converges to e/(e-1), which is approximately equal to 1.581976706. For example, a(21)/A004080(22) = 1171393005/740461601 = 1.581976706716...

Links

• Ronald E. Bruck, Maths_Exam_Solns (see page 6).

Crossrefs

Cf. A004080.