iterNegaLucasSeq

Create an iterator which generates a negaLucas sequence.

The negaLucas numbers are the integer sequence

2 comma negative 1 comma 3 comma negative 4 comma 7 comma negative 11 comma 18 comma negative 29 comma 47 comma negative 76 comma 123 comma negative 199 comma 322 comma ellipsis

The sequence is defined by the recurrence relation

upper L Subscript n minus 2 Baseline equals upper L Subscript n Baseline minus upper L Subscript n minus 1

which yields

upper L Subscript negative n Baseline equals left-parenthesis negative 1 right-parenthesis Superscript n Baseline upper L Subscript n

with seed values L_0 = 2 and L_{-1} = -1.

Usage

var iterNegaLucasSeq = require( '@stdlib/math/iter/sequences/negalucas' );

iterNegaLucasSeq( [options] )

Returns an iterator which generates a negaLucas sequence.

var it = iterNegaLucasSeq();
// returns <Object>

var v = it.next().value;
// returns 2

v = it.next().value;
// returns -1

v = it.next().value;
// returns 3

// ...

The returned iterator protocol-compliant object has the following properties:

  • next: function which returns an iterator protocol-compliant object containing the next iterated value (if one exists) assigned to a value property and a done property having a boolean value indicating whether the iterator is finished.
  • return: function which closes an iterator and returns a single (optional) argument in an iterator protocol-compliant object.

The function supports the following options:

  • iter: number of iterations. Default: 77.

The returned iterator can only generate the first 77 negaLucas numbers, as larger negaLucas numbers cannot be safely represented in double-precision floating-point format. By default, the function returns an iterator which generates all 77 numbers. To limit the number of iterations, set the iter option.

var opts = {
    'iter': 2
};
var it = iterNegaLucasSeq( opts );
// returns <Object>

var v = it.next().value;
// returns 2

v = it.next().value;
// returns -1

var bool = it.next().done;
// returns true

Notes

  • If an environment supports Symbol.iterator, the returned iterator is iterable.

Examples

var iterNegaLucasSeq = require( '@stdlib/math/iter/sequences/negalucas' );

// Create an iterator:
var it = iterNegaLucasSeq();

// Perform manual iteration...
var v;
while ( true ) {
    v = it.next();
    if ( v.done ) {
        break;
    }
    console.log( v.value );
}
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