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A099613 Numerator of (1+1/n)^k - (1+k/n), 2<=k<=n, triangle read by rows. 2
1, 1, 10, 1, 13, 113, 1, 16, 171, 1526, 1, 19, 241, 2551, 24337, 1, 22, 323, 3956, 43653, 450066, 1, 25, 417, 5801, 72689, 850809, 9492289, 1, 28, 523, 8146, 114265, 1496944, 18689527, 225159022, 1, 31, 641, 11051, 171561, 2487171, 34358881, 557947691 (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 ____ 10/27,

n=4: ......... 1/16 ___ 13/64 ___ 113/256,

n=5: ..... 1/25 __ 16/125 __ 171/625 __ 1526/3125,

n=6: . 1/36 _ 19/216 _ 241/1296 _ 2551/7776 _ 24337/46656.

CROSSREFS

Cf. A099614.

Sequence in context: A073731 A179937 A198487 * A209924 A209926 A016530

Adjacent sequences:  A099610 A099611 A099612 * A099614 A099615 A099616

KEYWORD

nonn,tabl,frac

AUTHOR

Reinhard Zumkeller, Oct 25 2004

STATUS

approved

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Last modified May 26 22:16 EDT 2019. Contains 323597 sequences. (Running on oeis4.)