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A204327 a(n) = Pell(n^2). 2
1, 12, 985, 470832, 1311738121, 21300003689580, 2015874949414289041, 1111984844349868137938112, 3575077977948634627394046618865, 66992092050551637663438906713182313772, 7316660981177400006023755031791634132229378601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Here Pell(n) = A000129(n).

LINKS

Table of n, a(n) for n=1..11.

FORMULA

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

EXAMPLE

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

PROG

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

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

CROSSREFS

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

Sequence in context: A278705 A180237 A079916 * A123283 A272855 A265488

Adjacent sequences:  A204324 A204325 A204326 * A204328 A204329 A204330

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 14 2012

STATUS

approved

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Last modified February 26 21:18 EST 2020. Contains 332295 sequences. (Running on oeis4.)