A099613 Numerator of (1+1/n)^k - (1+k/n), 2<=k<=n, triangle read by rows.

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

Offset: 1

Author

Reinhard Zumkeller, Oct 25 2004

Keywords

• nonn
• tabl
• frac

Comments

Denominator A099615.

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Bernoulli Inequality

Crossrefs

Cf. A099614.