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 A263850 Let R = Z((1+sqrt{5})/2) denote the ring of integers in the real quadratic number field of discriminant 5. Then a(n) is the number of ways of writing a totally positive element of norm n as a sum of three squares in R, or 0 if there is no totally positive element of norm n. 1
 1, 6, 0, 0, 12, 24, 0, 0, 0, 32, 0, 24, 0, 0, 0, 0, 54, 0, 0, 24, 24, 0, 0, 0, 0, 30, 0, 0, 0, 24, 0, 48, 0, 0, 0, 0, 48, 0, 0, 0, 0, 96, 0, 0, 24, 48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 24, 0, 120, 0, 0, 108, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 72, 0, 0, 48, 120, 54, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The terms were computed with the aid of Magma by David Durstoff, Nov 11 2015. See A263849 for further information. REFERENCES Maass, Hans. Über die Darstellung total positiver Zahlen des Körpers R (sqrt(5)) als Summe von drei Quadraten, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. Vol. 14. No. 1, pp. 185-191, 1941. LINKS CROSSREFS Cf. A263849 (another version of this sequence), A031363, A035187. Sequence in context: A037215 A028592 A243254 * A210446 A002044 A230968 Adjacent sequences:  A263847 A263848 A263849 * A263851 A263852 A263853 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 18 2015 STATUS approved

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Last modified July 23 11:41 EDT 2019. Contains 325254 sequences. (Running on oeis4.)