A294309 -id:A294309

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A294311

Integers with precisely ten partitions into sums of four squares of nonnegative numbers.

+10
1

130, 138, 153, 154, 171, 180, 182, 195, 196, 201, 213, 214, 217, 228, 229, 238, 241, 244, 247, 249, 253, 254, 257, 259, 269, 276, 277, 281, 295, 299, 303, 308, 317, 319, 332, 335, 347, 428, 431, 520, 552, 616, 720, 728, 784, 856, 912, 952, 976, 1016, 1104

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

A002635(a(n)) = 10.

LINKS

Robert Price, Table of n, a(n) for n = 1..98

D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.

Index entries for sequences related to sums of squares

MATHEMATICA

f[n_]:=Length@PowersRepresentations[n, 4, 2]; Select[Range@850, f@#==10 &] (* Vincenzo Librandi, Oct 28 2017 *)

CROSSREFS

Cf. A001156, A002635, A006431, A025428, A180149, A245022, A294282, A294297, A293175, A294308, A294309, A294310.

KEYWORD

nonn

AUTHOR

Robert Price, Oct 27 2017

STATUS

approved

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