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Search: id:A099613
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| A099613 |
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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, 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; 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 ____ 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.
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CROSSREFS
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Cf. A099614.
Sequence in context: A063672 A070606 A073731 this_sequence A016530 A059920 A040109
Adjacent sequences: A099610 A099611 A099612 this_sequence A099614 A099615 A099616
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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)lhsystems.com), Oct 25 2004
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