This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A143647 a(n) = ((5 + sqrt(3))^n + (5 - sqrt(3))^n)/2. 2
 1, 5, 28, 170, 1084, 7100, 47152, 315320, 2115856, 14221520, 95666368, 643790240, 4333242304, 29169037760, 196359046912, 1321871638400, 8898817351936, 59906997474560, 403295993003008, 2715005985589760, 18277548009831424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A083882. - R. J. Mathar, Nov 01 2008 Inverse binomial transform of A147961. LINKS Index entries for linear recurrences with constant coefficients, signature (10, -22). FORMULA From Philippe Deléham, Klaus Brockhaus and R. J. Mathar, Nov 01 2008: (Start) a(n) = 10*a(n-1) - 22*a(n-2), a(0)=1, a(1)=5. G.f.: (1-5x)/(1-10x+22*x^2). (End) a(n) = (Sum_{k=0..n} A098158(n,k)*5^(2*k)*3^(n-k))/5^n. - Philippe Deléham, Nov 06 2008 MATHEMATICA Simplify[With[{c=Sqrt[3]}, Table[((5+c)^n+(5-c)^n)/2, {n, 0, 25}]]] (* or *) LinearRecurrence[{10, -22}, {1, 5}, 25] (* Harvey P. Dale, Jun 04 2011 *) PROG (MAGMA) Z:= PolynomialRing(Integers()); N:=NumberField(x^2-3); S:=[ ((5+r3)^n+(5-r3)^n)/2: n in [0..20] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Nov 01 2008 CROSSREFS Cf. A083882, A147961, A098158. Sequence in context: A069731 A272046 A292871 * A082031 A020081 A095676 Adjacent sequences:  A143644 A143645 A143646 * A143648 A143649 A143650 KEYWORD nonn AUTHOR Al Hakanson (hawkuu(AT)gmail.com), Oct 27 2008 EXTENSIONS More terms from Klaus Brockhaus and R. J. Mathar, Nov 01 2008 Edited by Klaus Brockhaus, Jul 15 2009 STATUS approved

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

Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)