Centered Square Number
المؤلف:
Conway, J. H. and Guy, R. K.
المصدر:
The Book of Numbers. New York: Springer-Verlag
الجزء والصفحة:
...
16-12-2020
1118
Centered Square Number
A centered polygonal number consisting of a central dot with four dots around it, and then additional dots in the gaps between adjacent dots. The general term 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 1 (mod 4). The generating function giving the centered square numbers is
REFERENCES:
Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 41, 1996.
Sloane, N. J. A. Sequence A001844/M3826 in "The On-Line Encyclopedia of Integer Sequences."
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