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Search: id:A099614
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| A099614 |
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Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows. |
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+0
3
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| 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; listen)
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OFFSET
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1,3
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COMMENT
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Denominator A099615.
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LINKS
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Eric Weisstein's World of Mathematics, Bernoulli Inequality
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EXAMPLE
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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.
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CROSSREFS
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Cf. A099613.
Sequence in context: A021126 A091557 A106627 this_sequence A032012 A092702 A070475
Adjacent sequences: A099611 A099612 A099613 this_sequence A099615 A099616 A099617
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KEYWORD
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nonn,tabl,frac
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 25 2004
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