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 A036702 a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n, a>=0, 0<=b<=a. 5
 1, 2, 4, 7, 10, 15, 20, 25, 32, 40, 49, 57, 66, 78, 89, 102, 114, 128, 142, 158, 175, 190, 209, 227, 245, 267, 288, 310, 331, 354, 379, 402, 429, 455, 483, 512, 538, 569, 597, 631, 663, 693, 727, 761, 798, 834, 868, 906, 943, 983 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums of the irregular triangle A255250. - Wolfdieter Lang, Mar 15 2015 LINKS FORMULA a(n) - A036700(n) = 1+A049472(n). - R. J. Mathar, Oct 29 2011 a(n) = sum(floor(sqrt(n^2 - m^2)) - (m-1), m = 0.. floor(n/sqrt(2))), n >= 0. See A255250.  - Wolfdieter Lang, Mar 15 2015 MAPLE A036702 := proc(n)         local a, x, y ;         a := 0 ;         for x from 0 do                 if x^2 > n^2 then                         return a;                 fi ;                 for y from 0 to x do                         if y^2+x^2 <= n^2 then                                 a := a+1 ;                         end if;                 end do;         end do: end proc: # R. J. Mathar, Oct 29 2011 CROSSREFS Cf. A036700, A049472, A000603, A000328, A255250. Sequence in context: A095116 A027384 A022939 * A007983 A049640 A179385 Adjacent sequences:  A036699 A036700 A036701 * A036703 A036704 A036705 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 15 13:06 EDT 2019. Contains 328030 sequences. (Running on oeis4.)