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A036713 a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2, a>=0, 0<=b<a. 1
0, 1, 3, 5, 9, 13, 18, 23, 29, 38, 45, 54, 63, 74, 85, 96, 110, 124, 138, 153, 167, 185, 203, 221, 239, 260, 281, 301, 324, 346, 371, 395, 419, 445, 473, 501, 530, 558, 589, 619, 652, 683, 716, 751, 784, 820, 855, 893, 931, 970, 1010 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Robert Israel, Table of n, a(n) for n = 0..2000

Index entries for Gaussian integers and primes

MAPLE

N:= 100: V:= Vector(N):

for a from 1 to N do

  for b from 0 to a-1 do

    nmin:= ceil(sqrt(a^2+b^2)-1/2);

    if nmin > N then break fi;

    V[nmin..N]:= V[nmin..N]+~1

od od:

0, seq(V[i], i=1..N); # Robert Israel, Jul 14 2019

CROSSREFS

Sequence in context: A075314 A152737 A032635 * A260733 A265429 A122248

Adjacent sequences:  A036710 A036711 A036712 * A036714 A036715 A036716

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified September 25 12:23 EDT 2020. Contains 337343 sequences. (Running on oeis4.)