How to resolve the algorithm Sylvester's sequence step by step in the Quackery programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Sylvester's sequence step by step in the Quackery programming language
Table of Contents
Problem Statement
In number theory, Sylvester's sequence is an integer sequence in which each term of the sequence is the product of the previous terms, plus one. Its values grow doubly exponentially, and the sum of its reciprocals forms a series of unit fractions that converges to 1 more rapidly than any other series of unit fractions with the same number of terms. Further, the sum of the first k terms of the infinite series of reciprocals provides the closest possible underestimate of 1 by any k-term Egyptian fraction.
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Step by Step solution about How to resolve the algorithm Sylvester's sequence step by step in the Quackery programming language
Source code in the quackery programming language
[ $ "bigrat.qky" loadfile ] now!
' [ 2 ] 9 times [ dup -1 peek dup 2 ** swap - 1+ join ]
dup witheach [ echo cr ] cr
0 n->v rot witheach [ n->v 1/v v+ ] 222 point$ echo$
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