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A147977
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a(n) = 6^n-5^n-4^n-3^n-2^n-1.
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1
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-4, -9, -19, -9, 317, 3351, 26141, 183111, 1216637, 7842231, 49591901, 309595431, 1915328957, 11771279511, 71987413661, 438579282951, 2664183937277, 16146410851191, 97676152243421, 590010212989671, 3559688008961597
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..21.
Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720).
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FORMULA
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G.f.: x*(1524*x^5-2700*x^4+1755*x^3-530*x^2+75*x-4)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)). [Colin Barker, Oct 29 2012]
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MATHEMATICA
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lst={}; Do[p=6^n-5^n-4^n-3^n-2^n-1^n; AppendTo[lst, p], {n, 0, 5!}]; lst
Table[6^n-5^n-4^n-3^n-2^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{21, -175, 735, -1624, 1764, -720}, {-4, -9, -19, -9, 317, 3351}, 30] (* Harvey P. Dale, Jan 17 2017 *)
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CROSSREFS
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Cf. A147975, A147976, A147978, A147979.
Sequence in context: A344999 A203205 A330375 * A045278 A184723 A075649
Adjacent sequences: A147974 A147975 A147976 * A147978 A147979 A147980
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KEYWORD
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sign,easy
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Nov 18 2008
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STATUS
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approved
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