Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A066053
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A066053 Stirling transform of A002457. +0
1
1, 6, 36, 236, 1686, 13028, 108078, 956348, 8976708, 88962160, 927129786, 10125636716, 115543526476, 1373933166848, 16985192456410, 217851008508220, 2893517713599370, 39732264695056772, 563187218351672330 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = sum(stirling2(n, k)*(2*k + 2)!/(2*k!*(k + 1)!), k = 0..n), n = 0, 1, ...; E.g.f.: exp(2*exp(x) - 2)*(BesselI(0, 2*exp(x) - 2) + 4*BesselI(0, 2*exp(x) - 2)*(exp(x) - 1) + 4*(exp(x) - 1)*BesselI(1, 2*exp(x) - 2))

CROSSREFS

Cf. A002457

Sequence in context: A144819 A099252 A057395 this_sequence A153824 A001286 A049431

Adjacent sequences: A066050 A066051 A066052 this_sequence A066054 A066055 A066056

KEYWORD

nonn

AUTHOR

Karol A. Penson (penson(AT)lptl.jussieu.fr), Nov 30 2001

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


AT&T Labs Research