28545

Appears in sequences

• Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0).at n=38A053592
• Number of solutions to x^2 + y^2 + z^2 < n^2; number of lattice points inside a sphere of radius n.at n=19A078183
• Primitive elements of A065607.at n=17A120692
• Elements of A065607 from primitive triples.at n=27A120693
• Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even nonnegative determinant.at n=7A211156
• Composite squarefree numbers n such that p(i)-7 divides n+7, where p(i) are the prime factors of n.at n=19A225707
• a(n) gives the odd leg of the second of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)^2. This is the larger of the two possible odd legs.at n=17A253804
• Expansion of 1/(Sum_{i>=0} q^(2*i*(i+1))/Product_{j=0..i} (1 - q^(2*j+1))^2).at n=48A294599
• Composite numbers k such that P(k, 5) == 5 (mod k), where P(k, 5) = A006442(k) is the k-th Legendre polynomial evaluated at 5.at n=13A330204
• Triangle read by rows: T(n, k) = Sum_{d=0..n-k} binomial(n, d)*StirlingS2(n-d, k)*63^(n-d-k), with 0 <= k <= n.at n=12A364072