The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A163309 a(n) = 18*a(n-1) - 76*a(n-2) for n > 1; a(0) = 1, a(1) = 10. 3
 1, 10, 104, 1112, 12112, 133504, 1482560, 16539776, 185041408, 2073722368, 23263855616, 261146501120, 2932583993344, 32939377795072, 370032416817152, 4157190790283264, 46706970546995200, 524778969784385536 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A163308. Inverse binomial transform of A163310. LINKS G. C. Greubel, Table of n, a(n) for n = 0..950 Index entries for linear recurrences with constant coefficients, signature (18,-76). FORMULA a(n) = ((5+sqrt(5))*(9+sqrt(5))^n + (5-sqrt(5))*(9-sqrt(5))^n)/10. G.f.: (1-8*x)/(1-18*x+76*x^2). E.g.f.: (1/5)*exp(9*x)*(5*cosh(sqrt(5)*x) + sqrt(5)*sinh(sqrt(5)*x)). - G. C. Greubel, Dec 18 2016 MATHEMATICA LinearRecurrence[{18, -76}, {1, 10}, 50] (* G. C. Greubel, Dec 18 2016 *) PROG (MAGMA) [ n le 2 select 9*n-8 else 18*Self(n-1)-76*Self(n-2): n in [1..18] ]; (PARI) Vec((1-8*x)/(1-18*x+76*x^2) + O(x^50)) \\ G. C. Greubel, Dec 18 2016 CROSSREFS Cf. A163308, A163310. Sequence in context: A227014 A036334 A190954 * A163165 A110957 A077671 Adjacent sequences:  A163306 A163307 A163308 * A163310 A163311 A163312 KEYWORD nonn AUTHOR Klaus Brockhaus, Jul 24 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 16 13:05 EDT 2021. Contains 345057 sequences. (Running on oeis4.)