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A174762
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x-values in the solution x^2-61*y^2=1.
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2
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1, 1766319049, 6239765965720528801, 22042834973108102061352541449, 77869358613928486808166555366140995201, 275084262906388245923976756042747916825335226249, 971773147303355325052564141449134520779147876502526039201
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OFFSET
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1,2
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COMMENTS
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The corresponding values of y of this Pell equation are in A176364.
The next term has 67 digits. [From Harvey P. Dale, Jan. 15, 2011]
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..100
Index to sequences with linear recurrences with constant coefficients, signature (3532638098,-1).
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FORMULA
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a(n) = 3532638098*a(n-1)-a(n-2) with a(1)=1, a(2)=1766319049.
G.f.: x*(1-1766319049*x)/(1-3532638098*x+x^2).
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MATHEMATICA
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LinearRecurrence[{3532638098, -1}, {1, 1766319049}, 20]
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PROG
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(MAGMA) I:=[1, 1766319049]; [n le 2 select I[n] else 3532638098*Self(n-1)-Self(n-2): n in [1..10]];
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CROSSREFS
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Cf. A176364.
Sequence in context: A015411 A034649 A211240 * A147769 A198177 A129616
Adjacent sequences: A174759 A174760 A174761 * A174763 A174764 A174765
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Apr 13 2010
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STATUS
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approved
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