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A075416 Squares of A002281. 9

%I #7 Nov 11 2019 09:23:03

%S 0,49,5929,603729,60481729,6049261729,604937061729,60493815061729,

%T 6049382595061729,604938270395061729,60493827148395061729,

%U 6049382715928395061729,604938271603728395061729

%N Squares of A002281.

%C A transformation of the Wonderful Demlo numbers (A002477).

%H Colin Barker, <a href="/A075416/b075416.txt">Table of n, a(n) for n = 0..100</a>

%H G. Villemin, <a href="http://villemin.gerard.free.fr/Wwwgvmm/Addition/P100a500/Carrerep.htm">Variations sur les carrés</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (111,-1110,1000).

%F a(n) = A002281(n)^2 = (7 * A002275(n) )^2 = 49 * (A002275(n) )^2.

%F From _Colin Barker_, Jul 17 2019: (Start)

%F G.f.: 49*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)).

%F a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n>2.

%F a(n) = 49*(10^n-1)^2/81.

%F (End)

%e a(2) = 77^2 = 5929.

%o (PARI) concat(0, Vec(49*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)) + O(x^20))) \\ _Colin Barker_, Jul 17 2019

%Y Cf. A075411, A075412, A075413, A075414, A075415, A075416, A075417, A002283.

%K easy,nonn

%O 0,2

%A Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)