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 A000592 Number of nonnegative solutions of x^2 + y^2 = z in first n shells. (Formerly M2324 N0919) 2
 1, 3, 4, 6, 8, 9, 11, 13, 15, 17, 19, 20, 22, 26, 28, 30, 31, 33, 35, 37, 39, 41, 43, 45, 48, 50, 52, 54, 56, 58, 62, 64, 65, 67, 69, 71, 73, 75, 79, 81, 83, 85, 86, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 112, 113, 117, 119, 121, 123, 127, 129, 131, 133, 135, 137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS N_2(t) = Sum_{j <= t} n_2(j) where n_2(j) is the number of nonnegative solutions (x,y) of x^2 + y^2 = j, the solution (x,y) being considered as different from (y,x) in case x != y. REFERENCES Gupta, Hansraj; A table of values of N_2(t). Res. Bull. East Panjab Univ. 1952, (1952). no. 20, 13-93. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n=0..2749 FORMULA Cumulative totals of nonzero values in (or distinct values in cumulative totals of) A000925. - Franklin T. Adams-Watters, Jun 21 2006 MATHEMATICA nn = 200; t = CoefficientList[Series[Sum[x^k^2, {k, 0, Sqrt[nn]}]^2, {x, 0, nn}], x]; Union[Accumulate[t]] (* Jean-François Alcover, Jul 20 2011, after T. D. Noe *) CROSSREFS Cf. A000925. Sequence in context: A280762 A138097 A193732 * A138924 A188015 A192284 Adjacent sequences:  A000589 A000590 A000591 * A000593 A000594 A000595 KEYWORD nonn,nice,easy AUTHOR EXTENSIONS More terms from Franklin T. Adams-Watters, Jun 21 2006 STATUS approved

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Last modified April 21 01:53 EDT 2021. Contains 343143 sequences. (Running on oeis4.)