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 A083296 a(n) = (4*3^n + (-7)^n)/5. 4
 1, 1, 17, -47, 545, -3167, 24113, -162959, 1158209, -8054975, 56542289, -395323631, 2768682593, -19376526623, 135648440945, -949500822863, 6646620551297, -46525999485311, 325683029518481, -2279778107265455, 15958456048949921, -111709164448374239 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Binomial transform of A083295. REFERENCES K. H. Rosen, Handbook of Discrete and Combinatorial Mathematics, CRC Press LLC, 2000, p. 182 (example 9). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (-4,21). FORMULA G.f.: (1+5*x)/((1-3*x)*(1+7*x)). E.g.f.: (4*exp(3*x) + exp(-7*x))/5. MATHEMATICA Table[[(4*3^n+(-7)^n)/5], {n, 0, 21}] (* Bruno Berselli, Dec 06 2011 *) LinearRecurrence[{-4, 21}, {1, 1}, 30] (* Harvey P. Dale, Dec 13 2015 *) PROG (Magma) [(4*3^n+(-7)^n)/5: n in [0..30]]; // Vincenzo Librandi, Jun 08 2011 (Maxima) a[0]:1\$ a[1]:1\$ a[n]:=-4*a[n-1]+21*a[n-2]\$ makelist(a[n], n, 0, 21); /* _Bruno Berselli, Dec 06 2011 */ (PARI) a(n)=(4*3^n+(-7)^n)/5 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A083297. Sequence in context: A229448 A155841 A147058 * A362480 A159850 A031122 Adjacent sequences: A083293 A083294 A083295 * A083297 A083298 A083299 KEYWORD sign,easy AUTHOR Paul Barry, Apr 24 2003 STATUS approved

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Last modified April 18 09:47 EDT 2024. Contains 371779 sequences. (Running on oeis4.)