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Sqrt[a(n)a(n+1)+1] of A051047.
1

%I #11 Jul 22 2017 09:55:04

%S 2,5,31,449,6271,87361,1216799,16947841,236052991,3287794049,

%T 45793063711,637815097921,8883618307199,123732841202881,

%U 1723376158533151,24003533378261249,334326091137124351

%N Sqrt[a(n)a(n+1)+1] of A051047.

%H Z. Franusic, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL13/Franusic/franusic4.html">On the Extension of the Diophantine Pair {1,3} in Z[surd d]</a>, J. Int. Seq. 13 (2010) # 10.9.6

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiophantusProperty.html">Diophantus Property.</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (15,-15,1).

%F G.f.: x(-4x^4+57x^3-14x^2-25x+2)/[(1-x)(1-14x+x^2)].

%Y Cf. A051047.

%K nonn

%O 1,1

%A _Eric W. Weisstein_