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A061453
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a(n) = numerator of the continued fraction [1; 2^2, 3^3, ..., n^n].
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2
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1, 5, 136, 34821, 108815761, 5076908180037, 4181052193421026852, 70146415756303423345984069, 27176158693904381286127357619216593, 271761586939043812931419991948469353345984069
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OFFSET
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1,2
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LINKS
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Seiichi Manyama, Table of n, a(n) for n = 1..37
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FORMULA
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a(n) = n^n * a(n-1) + a(n-2) for n > 2. - Seiichi Manyama, Jun 05 2018
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EXAMPLE
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a(1) = 1, a(2) = 5 = numerator of 1 + 1/4 = 5/4.
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MATHEMATICA
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Table[Numerator[FromContinuedFraction[Table[n^n, {n, k}]]], {k, 15}] (* Harvey P. Dale, Apr 07 2019 *)
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CROSSREFS
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Denominators are sequence A061454.
Sequence in context: A208867 A094808 A320995 * A215958 A216337 A142294
Adjacent sequences: A061450 A061451 A061452 * A061454 A061455 A061456
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KEYWORD
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nonn,easy,frac
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AUTHOR
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Amarnath Murthy, May 03 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), May 15 2001
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STATUS
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approved
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