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A008453 Number of ways of writing n as a sum of 11 squares. 3
1, 22, 220, 1320, 5302, 15224, 33528, 63360, 116380, 209550, 339064, 491768, 719400, 1095160, 1538416, 1964160, 2624182, 3696880, 4763220, 5686648, 7217144, 9528816, 11676280, 13495680, 16317048, 20787470, 25022184, 27785120, 32503680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, NY, 1985, p. 121.

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 314.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..10000

Shi-Chao Chen, Congruences for rs(n), Journal of Number Theory, Volume 130, Issue 9, September 2010, Pages 2028-2032.

Shaun Cooper, On the number of representations of certain integers as sums of 11 or 13 squares, J. Number Theory 103 (2) (2003) 135-162

Index entries for sequences related to sums of squares

FORMULA

G.f.: theta_3(0,q)^11, where theta_3 is the 3rd Jacobi theta function. - Ilya Gutkovskiy, Jan 13 2017

a(n) = (22/n)*Sum_{k=1..n} A186690(k)*a(n-k), a(0) = 1. - Seiichi Manyama, May 27 2017

MAPLE

(sum(x^(m^2), m=-10..10))^11;

MATHEMATICA

Table[SquaresR[11, n], {n, 0, 28}] (* Ray Chandler, Nov 28 2006 *)

CROSSREFS

11th column of A286815. - Seiichi Manyama, May 27 2017

Row d=11 of A122141.

Cf. A022042.

Sequence in context: A224052 A224305 A224369 * A066573 A290362 A121087

Adjacent sequences:  A008450 A008451 A008452 * A008454 A008455 A008456

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Extended by Ray Chandler, Nov 28 2006

STATUS

approved

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Last modified February 23 00:33 EST 2018. Contains 299473 sequences. (Running on oeis4.)