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A023113 Squares that remain square when the digit 6 is appended. 1

%I #22 Feb 12 2021 06:04:44

%S 1,25,1849,36481,2666689,52606009,3845364121,75857828929,

%T 5545012396225,109386936710041,7995904029992761,157735886878050625,

%U 11530088066237165569,227455039491212291641,16626378995609962758169

%N Squares that remain square when the digit 6 is appended.

%C The terms of the sequence are the squares of the y-values in the solution to the Pellian equation x^2-10*y^2=6. - _Colin Barker_, Sep 28 2013

%F Empirical g.f.: -x*(x^4+24*x^3+382*x^2+24*x+1) / ((x-1)*(x^2-38*x+1)*(x^2+38*x+1)). - _Colin Barker_, Jan 31 2013

%Y Cf. A023111, A023112, A023114.

%K nonn,base

%O 1,2

%A _David W. Wilson_

%E Definition modified by _Harvey P. Dale_, Sep 08 2019

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Last modified May 7 20:13 EDT 2024. Contains 372317 sequences. (Running on oeis4.)