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Search: id:A080093
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| A080093 |
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Let sum(k>=0, k^n/(2*k+1)!) = (x(n)*e + y(n)/e)/z(n), where x(n) and z(n) are >0, then a(n)=x(n). |
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3
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| 0, 1, 1, 2, 11, 41, 81, 715, 3425, 8861, 98253, 580317, 1816640, 24011157, 166888165, 608035190, 9264071767, 73600798037, 304238004061, 5224266196935, 46499892038437, 214184962059157, 4078345814329009, 40073660040755337
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OFFSET
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1,4
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EXAMPLE
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Values of sum(k>=0,k^n/(2*k+1)!) = (x(n)*e + y(n)/e)/z(n) are given by n=1: (1/e)/2 = 0.183939720585721160..., n=2: (e - 3/e)/8 = 0.201830438118089783..., n=3: (e + 3/e)/16 = 0.238870009498335762..., n=4: (2e - 1/e)/16 = 0.316792763484165509..., n=5: (11e + 3/e)/64 = 0.484449038071309758..., n=6: (41e - 5/e)/128 = 0.856329357507528461..., n=7: (81e - 2/e)/128 = 1.71441460330343577..., n=8: (715e - 5/e)/512 = 3.79244552762179713..., n=9: (3425e + 55/e)/1024 = 9.11166858568033130..., n=10: (8861e + 106/e)/1024 = 23.5602446315818092...
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CROSSREFS
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Cf. A080094, A080095, A079750 - A079756.
Sequence in context: A125064 A055329 A000822 this_sequence A078746 A066593 A062256
Adjacent sequences: A080090 A080091 A080092 this_sequence A080094 A080095 A080096
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), Jan 28 2003
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