A155477 - OEIS

%I #34 Sep 08 2022 08:45:40

%S 43,79507,147008443,271818611107,502592611936843,929293739471222707,

%T 1718264124282290785243,3177070365797955661914307,

%U 5874403106360420018879553643,10861771343660416614908294685907,20083415214428110320965436874242043

%N a(n) = 43^(2*n+1).

%C 43*a(n) is a square, hence also a(n)^3+(6*a(n))^3+(11*a(n))^3 = 36*43*a(n)^3 is a square.

%H Vincenzo Librandi, <a href="/A155477/b155477.txt">Table of n, a(n) for n = 0..100</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1849).

%F G.f.: 43/(1-1849*x). - _Bruno Berselli_, Feb 26 2012

%t 43^(2 Range[0, 11] + 1) (* _Harvey P. Dale_, Oct 03 2011 *)

%t Table[43^(2 n + 1), {n, 0, 20}] (* _Vincenzo Librandi_, Oct 01 2015 *)

%o (Magma) [43^(2*n+1): n in [0..15]]; // _Vincenzo Librandi_, Oct 01 2015

%o (PARI) vector(20, n, n--; 43^(2*n+1)) \\ _Altug Alkan_, Oct 01 2015

%Y Bisection of A009987 (powers of 43).

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Jan 23 2009

%E More terms from _Harvey P. Dale_, Oct 03 2011

%E Offset from 1 to 0 by _Vincenzo Librandi_, Feb 26 2012