cp's OEIS Frontend

A075411 Squares of A002276.

%I A075411 #16 Jul 29 2025 08:39:16
%S A075411 0,4,484,49284,4937284,493817284,49382617284,4938270617284,
%T A075411 493827150617284,49382715950617284,4938271603950617284,
%U A075411 493827160483950617284,49382716049283950617284,4938271604937283950617284,493827160493817283950617284,49382716049382617283950617284
%N A075411 Squares of A002276.
%C A075411 A transformation of the Wonderful Demlo numbers (A002477).
%H A075411 Vincenzo Librandi, <a href="/A075411/b075411.txt">Table of n, a(n) for n = 0..200</a>
%H A075411 Gérard Villemin, <a href="http://villemin.gerard.free.fr/Wwwgvmm/Addition/P100a500/Carrerep.htm">Variations sur les carrés</a>.
%H A075411 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (111,-1110,1000).
%F A075411 a(n) = A002276(n)^2 = (2*A002275(n))^2 = 4*A002275(n)^2.
%F A075411 From _Chai Wah Wu_, Apr 24 2017: (Start)
%F A075411 a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.
%F A075411 G.f.: 4*x*(1 + 10*x)/((1 - x)*(1 - 10*x)*(1 - 100*x)). (End)
%F A075411 a(n) = 4*(10^n - 1)^2/81. - _Colin Barker_, Apr 25 2017
%F A075411 From _Elmo R. Oliveira_, Jul 28 2025: (Start)
%F A075411 E.g.f.: 4*exp(x)*(1 - 2*exp(9*x) + exp(99*x))/81.
%F A075411 a(n) = 4*A002477(n). (End)
%e A075411 a(2) = 22^2 = 484.
%t A075411 LinearRecurrence[{111, -1110, 1000}, {0, 4, 484}, 30] (* _Vincenzo Librandi_, Apr 25 2017 *)
%o A075411 (Magma) I:=[0,4,484]; [n le 3 select I[n] else 111*Self(n-1)-1110*Self(n-2)+1000*Self(n-3): n in [1..20]]; // _Vincenzo Librandi_, Apr 25 2017
%Y A075411 Cf. A075411, A075412, A075413, A075414, A075415, A075416, A075417.
%Y A075411 Cf. A002275, A002276, A002283, A002477.
%K A075411 easy,nonn
%O A075411 0,2
%A A075411 Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002