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A014897
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a(1)=1, a(n) = 14*a(n-1) + n.
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3
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1, 16, 227, 3182, 44553, 623748, 8732479, 122254714, 1711566005, 23961924080, 335466937131, 4696537119846, 65751519677857, 920521275490012, 12887297856860183, 180422169996042578, 2525910379944596109, 35362745319224345544, 495078434469140837635
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..200
Index entries for linear recurrences with constant coefficients, signature (16, -29, 14).
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FORMULA
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a(n) = -14/169 + (14/169)*14^n - (1/13)*n, with n >= 1. - Paolo P. Lava, Jan 14 2009
a(1)=1, a(2)=16, a(3)=227, a(n) = 16*a(n-1) - 29*a(n-2) + 14*a(n-3). - Vincenzo Librandi, Oct 20 2012
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MATHEMATICA
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LinearRecurrence[{16, -29, 14}, {1, 16, 227}, 20] (* Vincenzo Librandi, Oct 20 2012 *)
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PROG
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(MAGMA) I:=[1, 16, 227]; [n le 3 select I[n] else 16*Self(n-1) - 29*Self(n-2) + 14*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Oct 20 2012
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CROSSREFS
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Sequence in context: A051822 A017438 A098301 * A048445 A028340 A166903
Adjacent sequences: A014894 A014895 A014896 * A014898 A014899 A014900
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Olivier Gérard
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STATUS
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approved
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