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!)
A152429 a(n) = (11^n + 5^n)/2. 1
1, 8, 73, 728, 7633, 82088, 893593, 9782648, 107374753, 1179950408, 12973595113, 142680249368, 1569336258673, 17261966423528, 189877968549433, 2088639343496888, 22974941225731393, 252723895719373448 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Binomial transform of A081343.
Inverse binomial transform of A143079.
LINKS
FORMULA
a(n) = 16*a(n-1) - 55*a(n-2), with a(0)=1, a(1)=8.
G.f.: (1-8*x)/(1 - 16*x + 55*x^2).
a(n) = Sum_{k=0..n} A098158(n,k)*8^(2k-n)*9^(n-k).
a(n) = ((8 + sqrt(9))^n + (8 - sqrt(9))^n)/2. - Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008
E.g.f.: (exp(11*x) + exp(5*x))/2. - G. C. Greubel, Jan 08 2020
MAPLE
seq( (11^n+5^n)/2, n=0..20); # G. C. Greubel, Jan 08 2020
MATHEMATICA
LinearRecurrence[{16, -55}, {1, 8}, 20] (* G. C. Greubel, Jan 08 2020 *)
PROG
(Magma) [(11^n+5^n)/2: n in [0..20]]; // Vincenzo Librandi, Jun 01 2011
(PARI) vector(21, n, (11^(n-1) + 5^(n-1))/2 ) \\ G. C. Greubel, Jan 08 2020
(Sage) [(11^n+5^n)/2 for n in (0..20)] # G. C. Greubel, Jan 08 2020
(GAP) List([0..20], n-> (11^n+5^n)/2); # G. C. Greubel, Jan 08 2020
CROSSREFS
Cf. A162516.
Sequence in context: A082764 A254150 A024104 * A234281 A176734 A294606
KEYWORD
nonn,less
AUTHOR
Philippe Deléham, Dec 03 2008
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 March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)