The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A304727 a(0) = 0, a(1) = 1, a(n) = n! * a(n-1) + a(n-2). 1
 0, 1, 2, 13, 314, 37693, 27139274, 136781978653, 5515049406428234, 2001301128741459532573, 7262321535982523401207330634, 289888636287509191402441516910783773, 138857120603534969958797266489215885728367434 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also numerator of fraction equal to the continued fraction [ 0; 1!, 2!, ... , n! ]. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..43 FORMULA a(n) ~ c * BarnesG(n+2), where c = 1.09066686013842761466853962605824103850541289039727399315605573072024... - Vaclav Kotesovec, Jun 05 2018 EXAMPLE a(1) = 1 because [ 0; 1! ] = 1/1. a(2) = 2 because [ 0; 1!, 2! ] = 2/3. a(3) = 13 because [ 0; 1!, 2!, 3! ] = 13/19. a(4) = 314 because [ 0; 1!, 2!, 3!, 4! ] = 314/459. CROSSREFS Cf. A176232. Sequence in context: A013106 A134485 A236551 * A355730 A075620 A336188 Adjacent sequences: A304724 A304725 A304726 * A304728 A304729 A304730 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 05 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 23 19:42 EDT 2023. Contains 365554 sequences. (Running on oeis4.)