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!)
 A245806 3^n + 10^n. 1
 2, 13, 109, 1027, 10081, 100243, 1000729, 10002187, 100006561, 1000019683, 10000059049, 100000177147, 1000000531441, 10000001594323, 100000004782969, 1000000014348907, 10000000043046721, 100000000129140163, 1000000000387420489, 10000000001162261467 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (13,-30). FORMULA G.f.: (2-13*x)/((1-3*x)(1-10*x)). E.g.f.: e^(3*x) + e^(10*x). a(n) = 13*a(n-1)-30*a(n-2) for n>1. a(n) = A000244(n) + A011557(n). - Michel Marcus, Aug 04 2014 MATHEMATICA Table[(3^n + 10^n), {n, 0, 30}] (* or *) CoefficientList[Series[(2 - 13 x)/((1 - 3 x) (1 - 10 x)), {x, 0, 30}], x] PROG (MAGMA) [3^n+10^n: n in [0..25]]; /* or */ I:=[2, 13]; [n le 2 select I[n] else 13*Self(n-1)-30*Self(n-2): n in [1..25]] (PARI) a(n)=3^n + 10^n \\ Charles R Greathouse IV, Aug 26 2014 CROSSREFS Cf. 3^n+k^n: A034472 (k=1), A007689 (k=2), A008776 (k=3), A074605 (k=4), A074606 (k=5), A074607 (k=6), A074608 (k=7), A074609 (k=8), A074610 (k=9), this sequence (k=10). Sequence in context: A069100 A031991 A264621 * A192204 A176932 A258916 Adjacent sequences:  A245803 A245804 A245805 * A245807 A245808 A245809 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Aug 04 2014 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 14 07:00 EDT 2021. Contains 345018 sequences. (Running on oeis4.)