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A204419 y-values in the solutions to x^2 - 313*y^2 = 1. 0
0, 1819380158564160, 117124856755987405647781716823680, 7540058082713667504003446125203741470945194284480, 485400601250164750241979240919394389707542655611270208094258863360 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1996, p. 248.

LINKS

Table of n, a(n) for n=1..5.

G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 313

Index entries for linear recurrences with constant coefficients, signature (64376241658269698, -1).

FORMULA

a(n) = 64376241658269698*a(n-1) - a(n-2) with a(1) = 0 and a(2) = 1819380158564160.

G.f.: 1819380158564160*x^2/(1 - 64376241658269698*x + x^2).

MATHEMATICA

LinearRecurrence[{64376241658269698, -1}, {0, 1819380158564160}, 5]

PROG

(MAGMA) I:=[0, 1819380158564160]; [n le 2 select I[n] else 64376241658269698*Self(n-1)-Self(n-2): n in [1..10]]; // Vincenzo Librandi, May 16 2015

CROSSREFS

Cf. A041591, A082393.

Sequence in context: A257138 A288279 A318170 * A067495 A216910 A309111

Adjacent sequences:  A204416 A204417 A204418 * A204420 A204421 A204422

KEYWORD

nonn,easy

AUTHOR

Arkadiusz Wesolowski, Jan 15 2012

STATUS

approved

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Last modified December 15 22:02 EST 2019. Contains 330012 sequences. (Running on oeis4.)