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A121822
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Number of closed walks on the 5-cube.
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3
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1, 5, 65, 1205, 26465, 628805, 15424865, 382964405, 9550195265, 238539648005, 5961554097665, 149021418519605, 3725378557692065, 93133051794619205, 2328313585536338465, 58207725254446186805, 1455192101905494196865
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| G. R. Franssens, On a number pyramid related to the binomial, Deleham, Eulerian, MacMahon and Stirling number triangles, Journal of Integer Sequences, Vol. 9 (2006), Article 06.4.1.
Index to sequences with linear recurrences with constant coefficients, signature (35,-259,225).
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FORMULA
| 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).
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
(-1)^n*a(n)=Sum_{k, 0<=k<=n} A086872(n,k)*(-6)^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 17 2007
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PROG
| (PARI) a(n)=(25^n+5*9^n+10)>>4 \\ Charles R Greathouse IV, Jan 17 2012
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CROSSREFS
| Cf. A054879 A081294 A092812.
Sequence in context: A087453 A103974 A006278 * A056245 A195886 A079482
Adjacent sequences: A121819 A121820 A121821 * A121823 A121824 A121825
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KEYWORD
| nonn,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 27 2006
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EXTENSIONS
| Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
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