A099614 Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows.

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

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 ____ 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.
		

Links

• Eric Weisstein's World of Mathematics, Bernoulli Inequality

Crossrefs

Cf. A099613.