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Search: id:A138288
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| 1, 9, 89, 881, 8721, 86329, 854569, 8459361, 83739041, 828931049, 8205571449, 81226783441, 804062262961, 7959395846169, 78789896198729, 779939566141121, 7720605765212481, 76426118085983689, 756540575094624409
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OFFSET
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0,2
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COMMENT
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a(n) = A072256(n+1);
(sqrt(2)+sqrt(3))^(2*n+1)=A054320(n-1)*sqrt(2)+a(n)*sqrt(3).
a(n) = 10*a(n-1) - a(n-2)) for n > 1;
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FORMULA
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a(n) = A001079(n) + 2*A001078(n).
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PROGRAM
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(Other) sage: [lucas_number1(n, 10, 1)-lucas_number1(n-1, 10, 1) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 10 2009]
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CROSSREFS
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Cf. A138281.
Sequence in context: A133486 A015584 A072256 this_sequence A059482 A109002 A142991
Adjacent sequences: A138285 A138286 A138287 this_sequence A138289 A138290 A138291
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 12 2008
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