A194541 - OEIS

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

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OFFSET

1,2

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

Table of n, a(n) for n=1..28.

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

CROSSREFS

Cf. A004080.

Sequence in context: A055552 A086750 A086749 * A094586 A353133 A140336

Adjacent sequences: A194538 A194539 A194540 * A194542 A194543 A194544

KEYWORD

nonn

AUTHOR

Joseph Foley, Aug 28 2011

STATUS

approved