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 A245807 7^n + 10^n. 2
 2, 17, 149, 1343, 12401, 116807, 1117649, 10823543, 105764801, 1040353607, 10282475249, 101977326743, 1013841287201, 10096889010407, 100678223072849, 1004747561509943, 10033232930569601, 100232630513987207, 1001628413597910449, 10011398895185373143 (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 (17,-70). FORMULA G.f.: (2-17*x)/((1-7*x)*(1-10*x)). E.g.f.: e^(7*x) + e^(10*x). a(n) = 17*a(n-1)-70*a(n-2). a(n) = A000420(n) + A011557(n). MATHEMATICA Table[(7^n + 10^n), {n, 0, 30}] (* or *) CoefficientList[Series[(2 - 17 x)/((1 - 7 x) (1 - 10 x)), {x, 0, 40}], x] PROG (MAGMA) [7^n+10^n: n in [0..25]]; /* or */ I:=[2, 17]; [n le 2 select I[n] else 17*Self(n-1)-70*Self(n-2): n in [1..25]]; CROSSREFS Cf. 7^n+k^n: A034491 (k=1), A074602 (k=2), A074608 (k=3), A074613 (k=4), A074616 (k=5), A074619 (k=6), A109808 (k=7), A074622 (k=8), A074623 (k=9), this sequence (k=10). Sequence in context: A110815 A273340 A074624 * A295946 A176934 A126037 Adjacent sequences:  A245804 A245805 A245806 * A245808 A245809 A245810 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Aug 04 2014 STATUS approved

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Last modified July 24 23:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)