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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..37

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: A208867 A094808 A320995 * A215958 A216337 A142294

Adjacent sequences:  A061450 A061451 A061452 * A061454 A061455 A061456

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

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Last modified March 7 19:13 EST 2021. Contains 341928 sequences. (Running on oeis4.)