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SquaresR

SquaresR[d, n]
gives the number of ways r_d(n) to represent the integer n as a sum of d squares.
  • r_d(n) gives the number of ways to write , where the ni can be positive, negative or zero.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Number of ways to represent 45 as a sum of two squares:
The number of integer points on a circle of radius :
Base 2 logarithm of the number of integer points on a sphere of dimension n:
Number of ways to represent 45 as a sum of two squares:
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The number of integer points on a circle of radius :
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Base 2 logarithm of the number of integer points on a sphere of dimension n:
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Click for copyable input
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Applications   (2)
Number of lattice points inside the circle of radius 20 with center at the origin:
Approximation of the Sierpinski constant:
Properties & Relations   (2)
The number of representations as the sum of two squares:
PowersRepresentations enumerates the ordered representations up to units:
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