|
Search: id:A071787
|
|
|
| A071787 |
|
Continued exponent expansion of the power series 1/(1-x); odd terms being numerators and even terms being denominators of the rational terms of the expansion: 1/(1-x) = e^[(a(1)/a(2))*x*e^[(a(3)/a(4))*x*e^[(a(5)/a(6))*x*e^[...]]]]. |
|
+0
2
|
|
| 1, 1, 1, 2, 5, 12, 47, 120, 12917, 33840, 329458703, 874222560, 4526064144016687091, 12096849691539466560, 4339254722819592663241773932837977109
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
COMMENT
|
The fractions a(2n-1)/a(2n) form a monotonically decreasing sequence with the limit being 1/e = 0.3678794411714. What is the rate of growth of the terms?
|
|
FORMULA
|
Terms from a(11) through a(16) were supplied by David W. Cantrell (DWCantrell(AT)sigmaxi.net)
|
|
EXAMPLE
|
1/(1-x) = e^[(1/1)*x*e^[(1/2)*x*e^[(5/12)*x*e^[(47/120)*x*e^[...]]]]
|
|
CROSSREFS
|
Adjacent sequences: A071784 A071785 A071786 this_sequence A071788 A071789 A071790
Sequence in context: A009739 A062272 A127137 this_sequence A067578 A109139 A038576
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 06 2002
|
|
|
Search completed in 0.002 seconds
|
