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A061453
a(n) = numerator of the continued fraction [1; 2^2, 3^3, ..., n^n].
2
1, 5, 136, 34821, 108815761, 5076908180037, 4181052193421026852, 70146415756303423345984069, 27176158693904381286127357619216593, 271761586939043812931419991948469353345984069
OFFSET
1,2
LINKS
FORMULA
a(n) = n^n * a(n-1) + a(n-2) for n > 2. - Seiichi Manyama, Jun 05 2018
EXAMPLE
a(1) = 1, a(2) = 5 = numerator of 1 + 1/4 = 5/4.
MATHEMATICA
Table[Numerator[FromContinuedFraction[Table[n^n, {n, k}]]], {k, 15}] (* Harvey P. Dale, Apr 07 2019 *)
CROSSREFS
Denominators are sequence A061454.
Sequence in context: A094808 A367528 A320995 * A215958 A216337 A142294
KEYWORD
nonn,easy,frac
AUTHOR
Amarnath Murthy, May 03 2001
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), May 15 2001
STATUS
approved