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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A164537 a(n) = 8*a(n-1) - 14*a(n-2) for n > 1; a(0) = 5, a(1) = 28. 3
 5, 28, 154, 840, 4564, 24752, 134120, 726432, 3933776, 21300160, 115328416, 624425088, 3380802880, 18304471808, 99104534144, 536573667840, 2905125864704, 15728975567872, 85160042437120, 461074681546752 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Binomial transform of A102285 without initial term 1. Fourth binomial transform of A164682. Inverse binomial transform of A164538. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..158 Index entries for linear recurrences with constant coefficients, signature (8, -14). FORMULA a(n) = 8*a(n-1) - 14*a(n-2) for n > 1; a(0) = 5, a(1) = 28. G.f.: (5-12*x)/(1-8*x+14*x^2). a(n) = ((5+4*sqrt(2))*(4+sqrt(2))^n + (5-4*sqrt(2))*(4-sqrt(2))^n)/2. PROG (MAGMA) Z:=PolynomialRing(Integers()); N:=NumberField(x^2-2); S:=[ ((5+4*r)*(4+r)^n+(5-4*r)*(4-r)^n)/2: n in [0..19] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Aug 21 2009 CROSSREFS Cf. A102285, A164682, A164538. Sequence in context: A283516 A126699 A267828 * A015536 A271808 A005785 Adjacent sequences:  A164534 A164535 A164536 * A164538 A164539 A164540 KEYWORD nonn,easy AUTHOR Al Hakanson (hawkuu(AT)gmail.com), Aug 15 2009 EXTENSIONS Edited and extended beyond a(5) by Klaus Brockhaus, Aug 21 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 January 22 18:37 EST 2022. Contains 350488 sequences. (Running on oeis4.)