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A024042
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a(n) = 4^n - n^6.
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3
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1, 3, -48, -665, -3840, -14601, -42560, -101265, -196608, -269297, 48576, 2422743, 13791232, 62282055, 260905920, 1062351199, 4278190080, 17155731615, 68685464512, 274830861063, 1099447627776
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refs;
listen;
history;
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (11, -49, 119, -175, 161, -91, 29, -4).
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FORMULA
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a(n) = 11*a(n-1) - 49*a(n-2) + 119*a(n-3) - 175*a(n-4) + 161*a(n-5) - 91*a(n-6) + 29*a(n-7) - 4*a(n-8); a(0)=1, a(1)=3, a(2)=-48, a(3)=-665, a(4)=-3840, a(5)=-14601, a(6)=-42560, a(7)=-101265. - Harvey P. Dale, Jun 25 2013
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MATHEMATICA
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Table[4^n-n^6, {n, 0, 30}] (* or *) LinearRecurrence[ {11, -49, 119, -175, 161, -91, 29, -4}, {1, 3, -48, -665, -3840, -14601, -42560, -101265}, 30] (* Harvey P. Dale, Jun 25 2013 *)
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PROG
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(Magma) [4^n-n^6: n in [0..30]]; // Vincenzo Librandi, Jul 02 2011
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CROSSREFS
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Sequence in context: A081540 A294829 A264730 * A007654 A001080 A099852
Adjacent sequences: A024039 A024040 A024041 * A024043 A024044 A024045
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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