A090859 Sequence coincides with union of its first and 2nd binomial transforms, ordered by size, with a(0)=1.

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

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

Table of n, a(n) for n=0..35.

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: A268176 A120938 A120610 * A004681 A338589 A222406

Adjacent sequences: A090856 A090857 A090858 * A090860 A090861 A090862

Keyword

nonn

Author

Paul D. Hanna, Dec 10 2003

Status

approved