Math::NumSeq::Squares -- perfect squares


 use Math::NumSeq::Squares;
 my $seq = Math::NumSeq::Squares->new;
 my ($i, $value) = $seq->next;


The sequence of squares i**2,

    0, 1, 4, 9, 16, 25, ...     (A000290)


See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::Squares->new ()

Create and return a new sequence object.



Move the current sequence position to $i. The next call to next() will return $i and corresponding value.


Move the current sequence position so that next() will give $value on the next call, or if $value is not a square then the next square above $value.

Random Access

$value = $seq->ith($i)

Return $i * $i.

$bool = $seq->pred($value)

Return true if $value is a square, ie. k*k for some integer k.

$i = $seq->value_to_i_ceil($value)
$i = $seq->value_to_i_floor($value)

Return the square root of $value, rounded up or down to the next integer.

$i = $seq->value_to_i_estimate($value)

Return an estimate of the i corresponding to $value.


Math::NumSeq, Math::NumSeq::Pronic, Math::NumSeq::Triangular, Math::NumSeq::Cubes



Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020 Kevin Ryde

Math-NumSeq is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

Math-NumSeq is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Math-NumSeq. If not, see <>.