Zhuorui He - cp's OEIS frontend

User: Zhuorui He

Zhuorui He has authored 2 sequences.

A385236 Largest x such that x^2+y^2 = A001481(n), x and y are nonnegative integers.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 6, 6, 6, 5, 6, 7, 7, 6, 7, 7, 6, 8, 8, 8, 6, 8, 7, 8, 9, 9, 9, 8, 9, 9, 7, 10, 10, 10, 9, 10, 8, 10, 9, 11, 11, 11, 8, 11, 10, 11, 12, 12, 11, 12, 10, 12, 11, 12, 9, 10, 13, 13, 13, 13, 12, 10, 13, 12, 13, 14, 14, 14, 11, 14, 12, 14, 13, 14, 15

Offset: 1

Zhuorui He, Jul 08 2025

nonn

A229140(n) gives smallest x such that x^2+y^2 = A001481(n), x and y are nonnegative integers.

			For n=9, A001481(9)=13=2^2+3^2, so A229140(9)=2 and a(9)=3.
For n=14, A001481(14)=25=3^2+4^2=0^2+5^2, so A229140(14)=0 and a(14)=5.

Cf. A001481, A229140, A283303, A283304.

for(n=0, 300, s=sqrtint(n); forstep(i=s, 0, -1, if(issquare(n-i*i), print1(i, ", "); break)))

a(n) = sqrt(A001481(n)) if A001481(n) is square.

a(n) = sqrt(A001481(n)-A229140(n)^2).

A385237 Smallest x such that x^3+y^3 = A004999(n), x and y are nonnegative integers.

Original entry on oeis.org

0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 4, 2, 3, 4, 0, 1, 2, 3, 5, 4, 5, 0, 1, 2, 3, 4, 6, 5, 0, 1, 2, 3, 6, 4, 5, 7, 6, 0, 1, 2, 3, 4, 5, 7, 6, 0, 1, 2, 8, 3, 4, 7, 5, 6, 8, 0, 1, 2, 7, 3, 4, 5, 9, 8, 6, 7, 0, 1, 2, 3, 4, 8, 5, 6, 10, 9, 7, 0, 1, 2, 3, 8, 4, 5, 10, 6, 9, 7, 11

Offset: 1

Zhuorui He, Jul 08 2025

nonn

			For n=9, A004999(9) = 35 = 2^3 + 3^3, so a(9) = 2.
For n=17, A004999(17) = 128 = 4^3 + 4^3, so a(17)=4.

Cf. A004999, A229140.

cp's OEIS Frontend

User: Zhuorui He

A385236 Largest x such that x^2+y^2 = A001481(n), x and y are nonnegative integers.

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