A centered square number is a centered polygonal number consisting of a central dot surrounded by concentric squares ,
where nonnegative integer and the square contains A001844 ). Centered square numbers
are the sum of two consecutive square
numbers and are congruent to generating
function giving the centered square numbers, convergent for
See also Aztec Diamond ,
Centered Pentagonal Number ,
Centered Polygonal
Number ,
Centered Triangular Number ,
Diamond ,
Hex Number ,
Square Number
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References Conway, J. H. and Guy, R. K. The Book of Numbers. Sloane,
N. J. A. Sequence A001844 /M3826
in "The On-Line Encyclopedia of Integer Sequences." Referenced
on Wolfram|Alpha Centered Square Number
Cite this as:
Weisstein, Eric W. "Centered Square Number."
From MathWorld https://mathworld.wolfram.com/CenteredSquareNumber.html
Subject classifications
concentric squares,
where 
is a nonnegative integer and the 
th square contains 
dots for 
. The general term for 
, 1, 2, ... is 
, and the first few such numbers are 1, 5, 13, 25,
41, ... (OEIS A001844). Centered square numbers
are the sum of two consecutive square
numbers and are congruent to 
. The generating
function giving the centered square numbers, convergent for 
, is
