A294309 Integers with precisely eight partitions into sums of four squares of nonnegative numbers.

114, 117, 122, 126, 145, 147, 148, 157, 165, 169, 172, 175, 177, 181, 190, 193, 203, 227, 233, 311, 456, 488, 504, 592, 688, 760, 1824, 1952, 2016, 2368, 2752, 3040, 7296, 7808, 8064, 9472, 11008, 12160, 29184, 31232, 32256, 37888, 44032, 48640

Offset

1,1

Comments

A002635(a(n)) = 8.

Links

Table of n, a(n) for n=1..44.

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@#==8 &] (* Vincenzo Librandi, Oct 28 2017 *)

Crossrefs

Cf. A001156, A002635, A006431, A025428, A180149, A245022, A294282, A294297.

Sequence in context: A220983 A122503 A076150 * A138693 A272303 A260213

Adjacent sequences: A294306 A294307 A294308 * A294310 A294311 A294312

Keyword

nonn

Author

Robert Price, Oct 27 2017

Status

approved