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A204327 a(n) = Pell(n^2). 2

%I

%S 1,12,985,470832,1311738121,21300003689580,2015874949414289041,

%T 1111984844349868137938112,3575077977948634627394046618865,

%U 66992092050551637663438906713182313772,7316660981177400006023755031791634132229378601

%N a(n) = Pell(n^2).

%C Here Pell(n) = A000129(n).

%F a(n) = ( (1+sqrt(2))^(n^2) - (1-sqrt(2))^(n^2) ) / (2*sqrt(2)).

%e G.f.: A(x) = x + 12*x^2 + 985*x^3 + 470832*x^4 + 1311738121*x^5 +...

%o (PARI) {Pell(n)=polcoeff(x/(1-2*x-x^2+x*O(x^n)), n)}

%o {a(n)=Pell(n^2)}

%Y Cf. A204274, A165938, A165937, A166879, A054783.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Jan 14 2012

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Last modified April 5 02:26 EDT 2020. Contains 333238 sequences. (Running on oeis4.)