login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
sign,easy
AUTHOR
Paul Barry, Apr 24 2003
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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