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A079903
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(9n^4 - 18n^3 + 18n^2 - 9n + 2)/2.
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0
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1, 28, 190, 703, 1891, 4186, 8128, 14365, 23653, 36856, 54946, 79003, 110215, 149878, 199396, 260281, 334153, 422740, 527878, 651511, 795691, 962578, 1154440, 1373653, 1622701, 1904176, 2220778, 2575315, 2970703, 3409966, 3896236, 4432753, 5022865
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OFFSET
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1,2
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; p. 810.
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LINKS
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Table of n, a(n) for n=1..33.
Index entries for sequences related to linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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a(0)=1, a(1)=28, a(2)=190, a(3)=703, a(4)=1891, a(n)=5*a(n-1)- 10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5) [From Harvey P. Dale, June 10 2011]
G.f.: -((x*(x*(x+3)*(x+20)+23)+1)/(x-1)^5) [From Harvey P. Dale, June 10 2011]
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MATHEMATICA
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Table[(9n^4+18n^2+5)/32, {n, 1, 71, 2}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {1, 28, 190, 703, 1891}, 36] (* From Harvey P. Dale, June 10 2011 *)
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PROG
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(PARI) a(n)=(((9*n-18)*n+18)*n-9)*n/2+1 \\ Charles R Greathouse IV, Jun 10 2011
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CROSSREFS
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Sequence in context: A125338 A126496 A222967 * A167581 A135826 A220152
Adjacent sequences: A079900 A079901 A079902 * A079904 A079905 A079906
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane, Feb 21 2003
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STATUS
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approved
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