I often have to generate a polynomial sequence so I created this simple online utility that does it for me. It lets you generate however many polynomial series numbers you need in any base. It works in the browser and is powered by alien technology from the future.
Polynomial Progression Generator Options
Polynomial Progression Generator Examples (click to try!)
2, 5, 11, 29, 83, 245, 731, 2189, 6563, 19685, 59051, 177149, 531443, 1594325, 4782971, 14348909, 43046723, 129140165, 387420491, 1162261469
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
0; 4; 16; 64; 256; 1024; 4096; 16384; 65536; 262144
-256 -254 -252 -248 -240 -224 -192 -128 0 256 768 1792
1 1.1 1.01 1.001 1.0001 1.00001 1.000001 1.0000001 1.00000001 1.000000001
10 1 11 1 11 1 11 1 11 1
How Does This Polynomial Progression Generator Work?
pₙ is the n-th sequence term,
a is the fixed constant value (can be specified in options), and
b is the common-ratio (also can be changed in options). It uses the variable name
a and the variable name
b. Both values are created from strings by constructing
new BigNumber() objects. It uses an array
polynomials to store sequence elements and adds the first
fixedValue element to it via
var polynomials = [fixedValue]. Then, it runs a
count times (given in options), with the start value
var i = 1 and an increment of 1 (via
i++). It calculates the polynomial formula via two BigNumber library methods. The first one,
commonRatio to the power
i and the second one,
fixedValue to the number. Then it converts the polynomial term to the selected base via
toString(base) function and
push()es it to the
polynomials array. When the loop finishes, all values are joined together via
join(sep) function, where
sep is the output separator (specified in options).
Created by Browserling
This polynomial progression generator was created by me and my team at Browserling. Behind the scenes, it's actually powered by our web developer tools that are used by millions of people every month. Browserling itself is an online cross-browser testing service powered by alien technology. Check it out!
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