This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A138281 a(n) = floor((sqrt(2) + sqrt(3))^n). 5
 1, 3, 9, 31, 97, 308, 969, 3051, 9601, 30210, 95049, 299052, 940897, 2960313, 9313929, 29304086, 92198401, 290080547, 912670089, 2871501385, 9034502497, 28424933309, 89432354889, 281377831710, 885289046401, 2785353383794, 8763458109129, 27572156006234 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 FORMULA a(2*n) = floor(A001079(n) + A001078(n)*sqrt(6)); (sqrt(2) + sqrt(3))^(2*n) = A001079(n) + A001078(n)*sqrt(6); a(2*n+1) = floor(A054320(n)*sqrt(2) + A138288(n)*sqrt(3)); (sqrt(2)+sqrt(3))^(2*n+1) = A054320(n)*sqrt(2) + A138288(n)*sqrt(3). MATHEMATICA Table[Floor[(Sqrt[2] + Sqrt[3])^n], {n, 0, 50}] (* G. C. Greubel, Jan 27 2018 *) PROG (PARI) for(n=0, 50, print1(floor((sqrt(2) + sqrt(3))^n), ", ")) \\ G. C. Greubel, Jan 27 2018 (MAGMA) [Floor((Sqrt(2) + Sqrt(3))^n): n in [0..50]]; // G. C. Greubel, Jan 27 2018 CROSSREFS Cf. A089078, A110117, A121503, A135611, A135798. Sequence in context: A018370 A183519 A001672 * A049416 A148959 A148960 Adjacent sequences:  A138278 A138279 A138280 * A138282 A138283 A138284 KEYWORD nonn AUTHOR Reinhard Zumkeller, Mar 12 2008 EXTENSIONS Terms a(16) and a(18) corrected, terms a(19) onward added by G. C. Greubel, Jan 27 2018 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 March 20 13:18 EDT 2019. Contains 321345 sequences. (Running on oeis4.)