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A066455
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6*binomial(n,4)+5*binomial(n,2)-4*n+5.
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3
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1, 2, 8, 25, 65, 146, 292, 533, 905, 1450, 2216, 3257, 4633, 6410, 8660, 11461, 14897, 19058, 24040, 29945, 36881, 44962, 54308, 65045, 77305, 91226, 106952, 124633, 144425, 166490, 190996, 218117, 248033, 280930, 317000, 356441, 399457, 446258, 497060
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
M. Azaola and F. Santos, The number of triangulations of the cyclic polytope C(n,n-4), Discrete Comput. Geom., 27 (2002), 29-48.
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1)
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FORMULA
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G.f.: x*(1-3*x+8*x^2-5*x^3+5*x^4) / (1-x)^5 . - R. J. Mathar, Aug 07 2014
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {1, 2, 8, 25, 65}, 50] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2012 *)
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PROG
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(PARI) { for (n=1, 1000, a=6*binomial(n, 4) + 5*binomial(n, 2) - 4*n + 5; write("b066455.txt", n, " ", a) ) } \\ Harry J. Smith, Feb 15 2010
(MAGMA) [6*Binomial(n, 4)+5*Binomial(n, 2)-4*n+5: n in [1..40]]; // Vincenzo Librandi, Aug 07 2014
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CROSSREFS
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Sequence in context: A077167 A062450 A198181 * A066374 A193048 A301819
Adjacent sequences: A066452 A066453 A066454 * A066456 A066457 A066458
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Jan 04 2002
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STATUS
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approved
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