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A042740
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Numerators of continued fraction convergents to sqrt(901).
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1
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30, 1801, 108090, 6487201, 389340150, 23366896201, 1402403112210, 84167553628801, 5051455620840270, 303171504804045001, 18195341743863540330, 1092023676136616464801, 65539615909940851428390, 3933468978272587702168201
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..13.
Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=60*a(n-1)+a(n-2), n>1 ; a(0)=30, a(1)=1801 . G.f.: (30+x)/(1-60*x-x^2). [From Philippe DELEHAM, Nov 23 2008]
a(n)=15*{[30-sqrt(901)]^n+[30+sqrt(901)]^n}+(1/2)*sqrt(901)*{[30+sqrt(901)]^n-[30-sqrt(901)]^n}, with n>=0 [From Paolo P. Lava, Nov 28 2008]
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CROSSREFS
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Cf. A042741.
Sequence in context: A202384 A202369 A042743 * A112003 A092608 A092617
Adjacent sequences: A042737 A042738 A042739 * A042741 A042742 A042743
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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