login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 A356254

Adjacent sequences: A036710 A036711 A036712 * A036714 A036715 A036716

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 15:01 EST 2022. Contains 358667 sequences. (Running on oeis4.)