This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A145303 a(n) = ((8 + sqrt(8))^n + (8 - sqrt(8))^n)/2. 6
 1, 8, 72, 704, 7232, 76288, 815616, 8777728, 94769152, 1024753664, 11088986112, 120037572608, 1299617939456, 14071782965248, 152369922834432, 1649898919297024, 17865667030024192, 193456332999753728 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform is A152267, inverse binomial transform is A147689. LINKS Index entries for linear recurrences with constant coefficients, signature (16, -56). FORMULA From R. J. Mathar, Oct 10 2008: (Start) a(n) = 16*a(n-1) - 56*a(n-2). G.f.: (1-8x)/(1-16x+56x^2). a(n) = 2^n*A081180(n+1) - 2^(n+2)*A081180(n). (End) a(n) = Sum_{k=0..n} 8^k*A098158(n,k). - Philippe Deléham, Oct 14 2008 PROG (MAGMA) Z:= PolynomialRing(Integers()); N:=NumberField(x^2-8); S:=[ ((8+r8)^n+(8-r8)^n)/2: n in [0..17] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Oct 20 2008 CROSSREFS Cf. A081180, A098158, A152267, A147689. Sequence in context: A078995 A264913 A082414 * A098411 A220741 A165323 Adjacent sequences:  A145300 A145301 A145302 * A145304 A145305 A145306 KEYWORD nonn AUTHOR Al Hakanson (hawkuu(AT)gmail.com), Oct 06 2008 EXTENSIONS More terms from R. J. Mathar, Oct 10 2008 Edited by Klaus Brockhaus, Jul 09 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 October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)