Search: id:A121822
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%I A121822
%S A121822 1,5,65,1205,26465,628805,15424865,382964405,9550195265,238539648005,
%T A121822 5961554097665,149021418519605,3725378557692065,93133051794619205,
%U A121822 2328313585536338465,58207725254446186805,1455192101905494196865
%N A121822 Number of closed walks on the 5-cube.
%H A121822 G. R. Franssens, <a href="http://www.cs.uwaterloo.ca/journals/JIS/vol9.html">
               On a number pyramid related to the binomial, Deleham, Eulerian, MacMahon 
               and Stirling number triangles</a>, Journal of Integer Sequences, 
               Vol. 9 (2006), Article 06.4.1.
%F A121822 a(n) = (25^n+5*9^n+10)/16 . G.f. : (1-30*x+149*x^2)/(1-35*x+259*x^2-225*x^3).
%F A121822 E.g.f.: cosh^5(x). O.g.f.: 1/(1-5*1x/(1-4*2x/(1-3*3x/(1-2*4x/(1-1*5x))))) 
               (continued fraction). - Peter Bala (pbala(AT)toucansurf.com), Nov 
               13 2006
%F A121822 (-1)^n*a(n)=Sum_{k, 0<=k<=n} A086872(n,k)*(-6)^(n-k). - Philippe DELEHAM 
               (kolotoko(AT)wanadoo.fr), Aug 17 2007
%Y A121822 Cf. A054879 A081294 A092812.
%Y A121822 Sequence in context: A087453 A103974 A006278 this_sequence A056245 A079482 
               A147625
%Y A121822 Adjacent sequences: A121819 A121820 A121821 this_sequence A121823 A121824 
               A121825
%K A121822 nonn
%O A121822 0,2
%A A121822 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 27 2006
%E A121822 Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006

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