A036701 a(n)=number of Gaussian integers z=a+bi satisfying n-1<|z|<=n, a>=0, 0<=b<a.

0, 1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 8, 8, 11, 11, 12, 11, 13, 14, 15, 16, 15, 18, 17, 18, 21, 20, 21, 21, 22, 24, 23, 26, 25, 27, 29, 25, 30, 28, 33, 31, 30, 33, 33, 36, 36, 33, 37, 37, 39, 40, 41, 41, 39, 42, 42, 46, 43, 46, 45, 47

Offset

0,4

Links

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

Index entries for Gaussian integers and primes

Maple

N:= 100: A:= Array(0..N):
for a from 1 to N do
  for b from 0 to a-1 do
     r:= ceil(sqrt(a^2+b^2));
     if r > N then break fi;
     A[r]:= A[r]+1;
od od:
seq(A[i], i=0..N); # Robert Israel, Dec 18 2018

Crossrefs

Cf. A036700.

Sequence in context: A244230 A277814 A006162 * A053756 A210436 A003004

Adjacent sequences: A036698 A036699 A036700 * A036702 A036703 A036704

Keyword

nonn

Author

Clark Kimberling

Status

approved