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Search: id:A090859
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| A090859 |
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Sequence coincides with union of its first and 2nd binomial transforms, ordered by size, with a(0)=1. |
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+0
1
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| 1, 1, 2, 3, 5, 10, 13, 34, 35, 91, 125, 245, 452, 665, 1649, 1814, 4946, 6056, 13451, 22355, 36513, 82833, 99127, 269636, 307669, 735724, 1144159, 2014815, 4256276, 5537321, 15262248, 15831417, 42143690, 58875149, 116451411, 218958312
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OFFSET
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0,3
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COMMENT
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Limit a(n)^(1/n) = r = 1.78351993296... where r is the real solution to: 1/log(r) = 1/log(1+r) + 1/log(2+r).
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EXAMPLE
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This sequence is the union of the first and 2nd binomial transforms of itself when ordered by size, where:
first BINOMIAL={1,2,5,13,34,91,245,665,1814,4946,13451,36513,99127,...}
2nd BINOMIAL={1,3,10,35,125,452,1649,6056,22355,82833,...}.
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CROSSREFS
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Sequence in context: A071848 A120938 A120610 this_sequence A004681 A044953 A044815
Adjacent sequences: A090856 A090857 A090858 this_sequence A090860 A090861 A090862
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2003
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