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The divisor parity of 1-1,000,000: 0M-1M.zip

Python

DivisorParity.zip contains:

divisorParity.py

A python script to generate divisor parities for a range of numbers.  [needs an update, 0->1 and 2->2]

power formula code.zip contains:

power_summation_formula.py

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A python implementation of the formula building algorithm. Takes one argument, the power of the power summation formula you want.

Given the argument 10 it returns: n**11/11 + n**10/2 + 5*n**9/6 – n**7 + n**5 – n**3/2 + 5*n/66

Which is equivalent to: \frac{n^{11}}{11}+\frac{n^{10}}{2}+\frac{5n^9}{6}-n^7+n^5-\frac{n^3}{2}+\frac{5n}{66}

z_constants.py

A python implementation of the algorithm to derive the constants from the z formulas.

Given the argument 15 it returns the constant from z_{15}: \frac{657931}{186134520519971831808000000}

 number list.zip contains:

nlist.py

A module for making and manipulating lists of numbers in sequence research. Lists can be visualized in Number Explorer
Example: nlist.make_ratio(oeis.A069894,oeis.quarter_squares,5,10000).to_file(“ratio_A069894_and_quarter_squares.txt”)


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