A099615 -id:A099615 - cp's OEIS frontend

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

Reinhard Zumkeller, Oct 25 2004

Denominator A099615.

			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.

Eric Weisstein's World of Mathematics, Bernoulli Inequality

Cf. A099614.

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

Original entry on oeis.org

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

Reinhard Zumkeller, Oct 25 2004

Denominator A099615.

			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.

Eric Weisstein's World of Mathematics, Bernoulli Inequality

Cf. A099613.

cp's OEIS Frontend

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

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