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 A294710 Numbers that are the sum of three squares (square 0 allowed) in exactly seven ways. 4
 306, 314, 341, 441, 450, 458, 494, 506, 581, 585, 593, 605, 654, 657, 674, 698, 706, 726, 731, 738, 746, 773, 806, 842, 850, 873, 890, 891, 893, 894, 899, 901, 905, 906, 934, 978, 985, 998, 1011, 1013, 1019, 1050, 1058, 1061, 1067, 1073, 1086, 1094, 1101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS These are the numbers for which A000164(a(n)) = 7. a(n) is the n-th largest number which has a representation as a sum of three integer squares (square 0 allowed), in exactly seven ways, if neither the order of terms nor the signs of the numbers to be squared are taken into account. The multiplicity of a(n) with order and signs taken into account is A005875(a(n)). This sequence is a proper subsequence of A000378. LINKS Robert Price, Table of n, a(n) for n = 1..988 MATHEMATICA Select[Range[0, 1000], Length[PowersRepresentations[#, 3, 2]] == 7 &] CROSSREFS Cf. A000164, A005875, A000378, A094942, A224442, A224443, A294577, A294594, A294595. Sequence in context: A156168 A005951 A294596 * A206271 A236012 A158589 Adjacent sequences: A294707 A294708 A294709 * A294711 A294712 A294713 KEYWORD nonn AUTHOR Robert Price, Nov 07 2017 EXTENSIONS Updated Mathematica program to Version 11. by Robert Price, Nov 01 2019 STATUS approved

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Last modified August 8 04:35 EDT 2024. Contains 375018 sequences. (Running on oeis4.)