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A123954
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G.f.: -x^5/ ( (4*x-1) *(3*x-1) *(5*x-1) *(13*x^2-8*x+1) ).
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0
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0, 0, 0, 0, 1, 20, 244, 2352, 19725, 150996, 1084600, 7438112, 49268857, 317763732, 2007173532, 12470499600, 76456454725, 463727364692, 2787905507488, 16639142746368, 98709193239921, 582627136604436, 3424383528301252
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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FORMULA
| a(n)= 20*a(n-1) -156*a(n-2) +592*a(n-3) -1091*a(n-4) +780*a(n-5).
a(n)= 4^n/12 +2*A153594(n+1)/39 -19*A153594(n)/78 -3^n/12-5^n/20. [Mar 28 2010]
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MATHEMATICA
| Rest@ CoefficientList[ Series[ x^5/(1 - 20*x + 156*x^2 - 592*x^3 + 1091*x^4 - 780*x^5), {x, 0, 23}], x] (* From Harvey P. Dale, Mar 09 2011 *)
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CROSSREFS
| Sequence in context: A040075 A138442 A140124 * A125432 A055757 A022744
Adjacent sequences: A123951 A123952 A123953 * A123955 A123956 A123957
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KEYWORD
| nonn,easy
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AUTHOR
| Gary Adamson and Roger Bagula (rlbagulatftn(AT)yahoo.com), Oct 27 2006
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EXTENSIONS
| G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
Definition replaced by Voznyy's generating function of Jul 2009 - the Assoc. Eds of the OEIS, Mar 28 2010
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