SEQ

Convert number sequence to polynomial form using method of finite differences

Example: I use the function generate to create a a sequence

//this sequence was generated using x^3+7*x+7
var number_sequence = [ 7, 15, 29, 55, 99, 167, 265, 399, 575, 799, 1077 ];

We can then analyze it using SEQ

var seq = new SEQ(number_sequence).analyze();
console.log(seq.toPolynomialString())
//x^3+7*x+7

We can get the next number in the sequence

var next = seq.next();
console.log(next);
//1415

or get it in the form of a javascript function

f = seq.toFunction();
console.log(f(7));
//399

You can tweak the tolerance and maximum iterations and the variable used when returning the polynomial string using the 'setTolerance', 'setMaxIterations', and 'setVariable' methods. The default for 'setMaxIterations' is 1000 which roughly corresponds to highest degree polynomial expected.

It cannot calculate all sequences yet.