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 A193052 5^n - 4^n - 3^n. 1
 -1, -2, 0, 34, 288, 1858, 10800, 59554, 318528, 1671298, 8658000, 44456674, 226831968, 1151999938, 5830297200, 29429487394, 148249876608, 745630443778, 3745590368400, 18797446159714, 94264433228448 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(2)=0 according to the Pythagorean theorem. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..500 Index to sequences with linear recurrences with constant coefficients, signature (12,-47,60). FORMULA 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 MATHEMATICA Table[5^n-3^n-4^n, {n, 0, 20}] PROG (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 CROSSREFS Sequence in context: A053552 A009548 A172388 * A120489 A145576 A214447 Adjacent sequences:  A193049 A193050 A193051 * A193053 A193054 A193055 KEYWORD sign,easy,changed AUTHOR Zak Seidov, Jul 15 2011 STATUS approved

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