A294742
Numbers that are the sum of 5 nonzero squares in exactly 8 ways.
Original entry on oeis.org
91, 104, 106, 119, 122, 123, 126, 141, 143, 162, 185, 225
Offset: 1
- E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.
- H. von Eitzen, in reply to user James47, What is the largest integer with only one representation as a sum of five nonzero squares? on stackexchange.com, May 2014
- D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
- Eric Weisstein's World of Mathematics, Square Number.
- Index entries for sequences related to sums of squares
-
fQ[n_] := Block[{pr = PowersRepresentations[n, 5, 2]}, Length@Select[pr, #[[1]] > 0 &] == 8]; Select[Range@250, fQ] (* Robert G. Wilson v, Nov 17 2017 *)
A294743
Numbers that are the sum of 5 nonzero squares in exactly 9 ways.
Original entry on oeis.org
101, 112, 115, 118, 127, 144, 159, 161, 165, 169, 180
Offset: 1
- E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.
- H. von Eitzen, in reply to user James47, What is the largest integer with only one representation as a sum of five nonzero squares? on stackexchange.com, May 2014
- D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
- Eric Weisstein's World of Mathematics, Square Number.
- Index entries for sequences related to sums of squares
-
fQ[n_] := Block[{pr = PowersRepresentations[n, 5, 2]}, Length@Select[pr, #[[1]] > 0 &] == 9]; Select[Range@250, fQ](* Robert G. Wilson v, Nov 17 2017 *)
A294744
Numbers that are the sum of 5 nonzero squares in exactly 10 ways.
Original entry on oeis.org
107, 109, 116, 125, 140, 146, 168, 209, 249, 273, 297
Offset: 1
- E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.
- H. von Eitzen, in reply to user James47, What is the largest integer with only one representation as a sum of five nonzero squares? on stackexchange.com, May 2014
- D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
- Eric Weisstein's World of Mathematics, Square Number.
- Index entries for sequences related to sums of squares
-
fQ[n_] := Block[{pr = PowersRepresentations[n, 5, 2]}, Length@Select[pr, #[[1]] > 0 &] == 10]; Select[ Range@300, fQ](* Robert G. Wilson v, Nov 17 2017 *)
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