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A193052 a(n) = 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
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 * A347900 A337817 A120489
KEYWORD
sign,easy
AUTHOR
Zak Seidov, Jul 15 2011
STATUS
approved

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Last modified March 18 22:33 EDT 2024. Contains 370951 sequences. (Running on oeis4.)