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Create an iterator which generates a sequence of squared triangular numbers.
The squared triangular numbers are the integer sequence
>starting at the 0th squared triangular number.
Triangular numbers are given by the following explicit formulas
where the last formula corresponds to a binomial coefficient, representing the number of distinct pairs that can be selected from n+1
items.
The nth squared triangular number is the nth triangular number squared.
npm install @stdlib/mathitersequencessquaredtriangular
var iterSquaredTriangularSeq = require( '@stdlib/mathitersequencessquaredtriangular' );
Returns an iterator which generates a sequence of squared triangular numbers.
var it = iterSquaredTriangularSeq();
// returns <Object>
var v = it.next().value;
// returns 0
v = it.next().value;
// returns 1
v = it.next().value;
// returns 9
v = it.next().value;
// returns 36
v = it.next().value;
// returns 100
// ...
The returned iterator protocolcompliant object has the following properties:

next: function which returns an iterator protocolcompliant object containing the next iterated value (if one exists) assigned to a
value
property and adone
property having aboolean
value indicating whether the iterator is finished.  return: function which closes an iterator and returns a single (optional) argument in an iterator protocolcompliant object.
The function supports the following options
:

iter: number of iterations. Default:
11585
.
By default, the function returns a finite iterator to avoid exceeding the maximum safe doubleprecision floatingpoint integer. To adjust the number of iterations, set the iter
option.
var opts = {
'iter': 2
};
var it = iterSquaredTriangularSeq( opts );
// returns <Object>
var v = it.next().value;
// returns 0
v = it.next().value;
// returns 1
var bool = it.next().done;
// returns true
 If an environment supports
Symbol.iterator
, the returned iterator is iterable.
var iterSquaredTriangularSeq = require( '@stdlib/mathitersequencessquaredtriangular' );
// Create an iterator:
var opts = {
'iter': 100
};
var it = iterSquaredTriangularSeq( opts );
// Perform manual iteration...
var v;
while ( true ) {
v = it.next();
if ( v.done ) {
break;
}
console.log( v.value );
}

@stdlib/mathiter/sequences/triangular
: create an iterator which generates a sequence of triangular numbers.
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