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a(n) = 37^(2*n+1).
3

%I #15 Sep 08 2022 08:46:14

%S 37,50653,69343957,94931877133,129961739795077,177917621779460413,

%T 243569224216081305397,333446267951815307088493,

%U 456487940826035155404146917,624931990990842127748277129373,855531895666462872887391390111637,1171223165167387672982838813062831053

%N a(n) = 37^(2*n+1).

%C 37*a(n) is a square.

%H G. C. Greubel, <a href="/A262786/b262786.txt">Table of n, a(n) for n = 0..250</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1369).

%F G.f.: 37/(1 - 1369*x).

%F a(n) = 1369*a(n-1).

%F a(n) = A009981(A005408(n)). - _Wesley Ivan Hurt_, Sep 04 2022

%t 37^Range[1, 30, 2]

%o (Magma) [37^(2*n+1): n in [0..15]];

%o (PARI) vector(20, n, n--; 37^(2*n+1)) \\ _Altug Alkan_, Oct 08 2015

%Y Second bisection of A009981 (powers of 37).

%Y Cf. similar sequences listed in A262715.

%Y Cf. A005408, A009981.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 08 2015