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A036695
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a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n, b>=0.
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3
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1, 4, 9, 18, 29, 46, 63, 82, 107, 136, 169, 200, 233, 278, 321, 370, 415, 468, 523, 584, 649, 708, 781, 850, 921, 1006, 1087, 1172, 1255, 1344, 1441, 1532, 1637, 1738, 1847, 1962, 2063, 2184, 2295, 2428, 2553, 2672, 2805, 2938
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Number of ordered pairs of integers (x,y) with x^2 + y^2 <= n^2 and y >= 0. [Reinhard Zumkeller, Jan 23 2012]
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LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 0..1000
Index entries for Gaussian integers and primes
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PROG
| (Haskell)
a036695 n = length [(x, y) | x <- [-n..n], y <- [0..n], x^2 + y^2 <= n^2]
-- Reinhard Zumkeller, Jan 23 2012
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CROSSREFS
| Cf. A000603, A000328.
Sequence in context: A026412 A008021 A103976 * A147229 A008149 A008025
Adjacent sequences: A036692 A036693 A036694 * A036696 A036697 A036698
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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