login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081669 Expansion of exp(2x)+exp(x)BesselI_0(2x). 2
1, 3, 7, 15, 35, 83, 205, 521, 1363, 3651, 9977, 27701, 77885, 221133, 632611, 1820375, 5262163, 15266003, 44414953, 129521141, 378427945, 1107447881, 3245329831, 9521616731, 27965113597, 82210390733, 241880335015 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081668. Inverse binomial transform of A081670.

LINKS

Table of n, a(n) for n=0..26.

FORMULA

E.g.f. exp(2x) - exp(0) + exp(x)BesselI_0(2x).

Conjecture: n*a(n) +(-6*n+5)*a(n-1) +(9*n-17)*a(n-2) +4*(n-1)*a(n-3) +12*(-n+3)*a(n-4)=0. - R. J. Mathar, Nov 24 2012

CROSSREFS

Cf. A000984.

Sequence in context: A174284 A182892 A124696 * A086821 A007576 A167539

Adjacent sequences:  A081666 A081667 A081668 * A081670 A081671 A081672

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 28 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified May 20 15:28 EDT 2013. Contains 225463 sequences.