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A017361
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a(n) = (10*n + 7)^9.
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1
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40353607, 118587876497, 7625597484987, 129961739795077, 1119130473102767, 6351461955384057, 27206534396294947, 95151694449171437, 285544154243029527, 760231058654565217, 1838459212420154507, 4108400332687853397
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
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FORMULA
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a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10); a(0)=40353607, a(1)=118587876497, a(2)=7625597484987, a(3)=129961739795077, a(4)=1119130473102767, a(5)=6351461955384057, a(6)=27206534396294947, a(7)=95151694449171437, a(8)=285544154243029527, a(9)=760231058654565217. - Harvey P. Dale, Dec 28 2011
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MATHEMATICA
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(10*Range[0, 30]+7)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {40353607, 118587876497, 7625597484987, 129961739795077, 1119130473102767, 6351461955384057, 27206534396294947, 95151694449171437, 285544154243029527, 760231058654565217}, 30] (* Harvey P. Dale, Dec 28 2011 *)
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PROG
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(PARI) vector(20, n, n--; (10*n+7)^9) \\ G. C. Greubel, Nov 10 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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