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 A354778 Number of integer quadruples (u,v,w,x) such that u^2+v^2+w^2+x^2 = n^2 and u+v+w+x = n. 5
 1, 4, 8, 16, 8, 28, 32, 28, 8, 52, 56, 52, 32, 52, 56, 112, 8, 76, 104, 76, 56, 112, 104, 100, 32, 148, 104, 160, 56, 124, 224, 124, 8, 208, 152, 196, 104, 148, 152, 208, 56, 172, 224, 172, 104, 364, 200, 196, 32, 196, 296, 304, 104, 220, 320, 364, 56, 304, 248, 244, 224, 244, 248, 364, 8, 364, 416, 268, 152, 400, 392, 292, 104, 292, 296, 592, 152, 364, 416, 316, 56, 484, 344, 340, 224 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This has the most natural offset, 0, just as A000118 does. A354766 gives one-quarter of a(n) for n > 0, and A278085 counts primitive solutions. LINKS Table of n, a(n) for n=0..84. FORMULA See A278085 and A354766 for some conjectural formulas. CROSSREFS a(n) = A354777(n^2,n). Cf. A000118, A278085, A354766. Sequence in context: A361667 A361664 A110652 * A059373 A137798 A312754 Adjacent sequences: A354775 A354776 A354777 * A354779 A354780 A354781 KEYWORD nonn AUTHOR N. J. A. Sloane, Jun 27 2022 STATUS approved

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Last modified June 19 23:45 EDT 2024. Contains 373510 sequences. (Running on oeis4.)