login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A099614 Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows. 2
1, 1, 8, 1, 11, 81, 1, 14, 131, 1024, 1, 17, 193, 1829, 15625, 1, 20, 267, 2974, 29849, 279936, 1, 23, 353, 4519, 52113, 561399, 5764801, 1, 26, 451, 6524, 84997, 1034270, 11994247, 134217728, 1, 29, 561, 9049, 131441, 1782969, 23046721, 287420489 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Denominator A099615.

LINKS

Table of n, a(n) for n=1..44.

Eric Weisstein's World of Mathematics, Bernoulli Inequality

EXAMPLE

Triangle (1-1/n)^k - (1-k/n) starts, 2<=k<=n<=6:

n=2: .................. 1/4,

n=3: .............. 1/9 ____ 8/27,

n=4: ......... 1/16 ___ 11/64 ___ 81/256,

n=5: ..... 1/25 __ 14/125 __ 131/625 __ 1024/3125,

n=6: . 1/36 _ 17/216 _ 193/1296 _ 1829/7776 _ 15625/46656.

CROSSREFS

Cf. A099613.

Sequence in context: A106627 A302152 A160925 * A032012 A092702 A070475

Adjacent sequences:  A099611 A099612 A099613 * A099615 A099616 A099617

KEYWORD

nonn,tabl,frac

AUTHOR

Reinhard Zumkeller, Oct 25 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 16 10:03 EDT 2019. Contains 324152 sequences. (Running on oeis4.)