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A193052
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5^n - 4^n - 3^n.
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1
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-1, -2, 0, 34, 288, 1858, 10800, 59554, 318528, 1671298, 8658000, 44456674, 226831968, 1151999938, 5830297200, 29429487394, 148249876608, 745630443778, 3745590368400, 18797446159714, 94264433228448
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OFFSET
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0,2
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COMMENTS
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a(2)=0 according to the Pythagorean theorem.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index to sequences with linear recurrences with constant coefficients, signature (12,-47,60).
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FORMULA
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a(n) = 12*a(n-1)-47*a(n-2)+60*a(n-3), a(0)=-1, a(1)=-2, a(2)=0.
G.f.: -(1-10*x+23*x^2)/((1-3*x)*(1-4*x)*(1-5*x)) - Bruno Berselli, Jul 15 2011
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MATHEMATICA
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Table[5^n-3^n-4^n, {n, 0, 20}]
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PROG
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(PARI) a(n)=5^n-4^n-3^n \\ Charles R Greathouse IV, Jul 15 2011
(MAGMA) [5^n - 4^n - 3^n: n in [0..30] ]; // Vincenzo Librandi, Jul 18 2011
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CROSSREFS
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Sequence in context: A053552 A009548 A172388 * A120489 A145576 A214447
Adjacent sequences: A193049 A193050 A193051 * A193053 A193054 A193055
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KEYWORD
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sign,easy,changed
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AUTHOR
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Zak Seidov, Jul 15 2011
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STATUS
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approved
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