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A144297 BINOMIAL transform of A001515. 1
1, 3, 12, 65, 465, 4212, 46441, 604389, 9071250, 154267865, 2931801639, 61578273462, 1416474723373, 35415138314415, 956276678789100, 27733572777976973, 859779201497486829, 28373745267763162716 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

N. J. A. Sloane, Transforms

FORMULA

Contribution from Vaclav Kotesovec, Oct 20 2012: (Start)

E.g.f.: exp(1+x-sqrt(1-2*x))/sqrt(1-2*x)

Recurrence: a(n) = (2*n+1)*a(n-1) - (4*n-5)*a(n-2) + 2*(n-2)*a(n-3)

a(n) ~ 2^(n+1/2)*n^n/exp(n-3/2)

(End)

MATHEMATICA

CoefficientList[Series[E^(1+x-Sqrt[1-2*x])/Sqrt[1-2*x], {x, 0, 20}], x]*Range[0, 20]! (* Vaclav Kotesovec, Oct 20 2012 *)

CROSSREFS

Sequence in context: A256124 A109577 A242575 * A007017 A183273 A082987

Adjacent sequences:  A144294 A144295 A144296 * A144298 A144299 A144300

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 04 2008

STATUS

approved

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Last modified May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)