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 A090859 Sequence coincides with union of its first and 2nd binomial transforms, ordered by size, with a(0)=1. 0
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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). LINKS EXAMPLE 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,...}. CROSSREFS Sequence in context: A071848 A120938 A120610 * A004681 A222406 A044953 Adjacent sequences:  A090856 A090857 A090858 * A090860 A090861 A090862 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 10 2003 STATUS approved

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