This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A192745 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments. 2
 0, 1, 2, 5, 13, 42, 175, 937, 6152, 47409, 416441, 4092650, 44425891, 527520141, 6798966832, 94504778173, 1408978113005, 22426272779178, 379522678988183, 6804322657495361, 128828945745315544, 2568535276579450905, 53788306394034206449 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The titular polynomial is defined recursively by p(n,x)=x*(n-1,x)+n! for n>0, where p(0,x)=1.  For discussions of polynomial reduction, see A192232 and A192744. LINKS FORMULA G.f.: x/(1-x-x^2)/Q(0), where Q(k)= 1 - x*(k+1)/(1 - x*(k+1)/Q(k+1)); (continued fraction). - Sergei N. Gladkovskii, May 20 2013 EXAMPLE The first six polynomials and their reductions are shown here: 1 -> 1 1+x -> 1+x 2+x+x^2 -> 3+2x 6+2x+x^2+x^3 -> 8+5x 24+6x+2x^2+x^4+x^5 -> 29+13x From those, read A192744=(1,1,3,8,29,...) and A192745=(0,1,2,5,13,...). MATHEMATICA (See A192744.) CROSSREFS Sequence in context: A149874 A114297 A178682 * A212824 A119533 A066740 Adjacent sequences:  A192742 A192743 A192744 * A192746 A192747 A192748 KEYWORD nonn,changed AUTHOR Clark Kimberling, Jul 09 2011 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 21 07:04 EDT 2013. Contains 225477 sequences.