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A083296
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(4*3^n+(-7)^n)/5.
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4
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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; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform of A083295.
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REFERENCES
| K. H. Rosen, Handbook of Discrete and Combinatorial Mathematics, CRC Press LLC, 2000, p. 182 (example 9).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index to sequences with linear recurrences with constant coefficients, signature (-4,21).
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FORMULA
| G.f.: (1+5*x)/((1-3*x)*(1+7*x)).
E.g.f.: (4*exp(3*x)+exp(-7*x))/5.
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MATHEMATICA
| Table[[(4*3^n+(-7)^n)/5], {n, 0, 21}] (* Bruno Berselli, Dec 06 2011 *)
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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]
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CROSSREFS
| Cf. A083297.
Sequence in context: A039949 A155841 A147058 * A159850 A031122 A051869
Adjacent sequences: A083293 A083294 A083295 * A083297 A083298 A083299
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KEYWORD
| sign,easy
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 24 2003
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