A248263 - OEIS

A248263

Egyptian fraction representation of sqrt(37) (A010491) using a greedy function.

6, 13, 172, 39216, 11016972197, 134283233503741443791, 18872603108304707287590736836379382332539, 773806129529571836706640292961775806691343199188996534429569375589794450652266246

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..7.

MATHEMATICA

Egyptian[nbr_] := Block[{lst = {IntegerPart[nbr]}, cons = N[ FractionalPart[ nbr], 2^20], denom, iter = 8}, While[ iter > 0, denom = Ceiling[ 1/cons]; AppendTo[ lst, denom]; cons -= 1/denom; iter--]; lst]; Egyptian[ Sqrt[ 37]]

CROSSREFS

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Sequence in context: A368633 A042285 A041070 * A201449 A205300 A065938

Adjacent sequences: A248260 A248261 A248262 * A248264 A248265 A248266

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Oct 04 2014

STATUS

approved