Search: id:A001949 Results 1-1 of 1 results found. %I A001949 M1127 N0430 %S A001949 0,0,0,0,0,1,2,4,8,16,32,63,124,244,480,944,1856,3649,7174,14104,27728, %T A001949 54512,107168,210687,414200,814296,1600864,3147216,6187264,12163841, %U A001949 23913482,47012668,92424472,181701728,357216192,702268543,1380623604 %N A001949 A probability difference equation. %D A001949 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A001949 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A001949 O. Dunkel, Solutions of a probability difference equation, Amer. Math. Monthly, 32 (1925), 354-370. %H A001949 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992. %H A001949 S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992. %F A001949 For n >= 6, a(n+1)=2a(n)-a(n-5). %p A001949 A001949:=1/(z-1)/(z**5+z**4+z**3+z**2+z-1); [S. Plouffe in his 1992 dissertation.] %Y A001949 Sequence in context: A006261 A145112 A062259 this_sequence A001592 A140134 A049886 %Y A001949 Adjacent sequences: A001946 A001947 A001948 this_sequence A001950 A001951 A001952 %K A001949 nonn,easy %O A001949 0,7 %A A001949 N. J. A. Sloane (njas(AT)research.att.com). %E A001949 More terms from Larry Reeves (larryr(AT)acm.org), Sep 14 2000 Search completed in 0.001 seconds