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A074501 a(n) = 1^n + 2^n + 5^n. 99

%I #24 May 10 2020 13:44:46

%S 3,8,30,134,642,3158,15690,78254,390882,1953638,9766650,48830174,

%T 244144722,1220711318,6103532010,30517610894,152587956162,

%U 762939584198,3814697527770,19073486852414,95367432689202,476837160300278

%N a(n) = 1^n + 2^n + 5^n.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (8,-17,10).

%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)

%F G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-5*x).

%F E.g.f.: e^x + e^(2*x) + e^(5*x). (End)

%F a(n) = 7*a(n-1) - 10*a(n-2) + 4 with a(0)=3, a(1)=8. - _Vincenzo Librandi_, Jul 21 2010

%t Table[1^n + 2^n + 5^n, {n, 0, 24}]

%o (PARI) a(n)=1+2^n+5^n \\ _Charles R Greathouse IV_, Jun 10 2011

%Y Equals A074600(n) + 1.

%Y Cf. A001550, A001576, A034513, A001579, A074502..A074580.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 23 2002

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)