203125
domain: N
Appears in sequences
- Smallest number that is the sum of 2 squares (allowing zeros) in exactly n ways.at n=6A000446
- Least hypotenuse of n distinct Pythagorean triangles.at n=19A006339
- Smallest k such that circle x^2 + y^2 = k passes through exactly 4n integer points.at n=13A018782
- Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1 <= k <= n; sequence gives f(n,n-2)/n.at n=23A019579
- a(n) = n*(n - 1)^3/2.at n=26A019582
- Numbers that are the sum of 2 nonzero squares in exactly 7 ways.at n=2A025290
- Numbers that are the sum of 2 distinct nonzero squares in exactly 7 ways.at n=2A025308
- a(n) is smallest integral radius of circle centered at (0,0) having 8n-4 lattice points on its circumference; a(n)/2 is smallest half-integral radius circle centered at (1/2,0) having 4n-2 lattice points; a(n)/3 is smallest third-integral radius circle centered at (1/3,0) having 2n-1 lattice points.at n=19A046112
- Numbers of the form q1^b1 * q2^b2 * q3^b3 * q4^b4 * q5^b5 * ... where q1=5, q2=13, q3=17, q4=29, q5=37, ... (A002144) and b1 >= b2 >= b3 >= b4 >= b5 >= ....at n=23A054994
- Table read by rows of A054994 ordered by A046080.at n=27A097756
- Numbers of the form (5^i)*(13^j).at n=24A107466
- Smallest strictly positive number decomposable in n different ways as a sum of two squares.at n=6A124980
- a(n) = n^6*(n^2 + 1)/2.at n=5A168527
- a(n) = (2n + 1)*5^n.at n=6A171220
- Array A(n,k) by ascending antidiagonals: A(n,k) = n^k * Fibonacci(k + 1) for n, k >= 1.at n=50A234357
- Hypotenuses for which there exist exactly 19 distinct integer triangles.at n=0A290505
- Values of n such that 5^n ends in n, or expomorphic numbers relative to "base" 5.at n=4A306570
- Start with a(0) = 1; thereafter a(n) is obtained from 5*a(n-1) by removing all 7's.at n=9A335506
- Primitive integers for the number of ways k to write as a sum of two squares.at n=43A336542
- Let n = p_1*p_2*...*p_k be the prime factorization of n, with the primes sorted in descending order. Then a(n) = 5^(p_1 - 1)*13^(p_2 - 1)*17^(p_3 - 1)*...*A002144(k)^(p_k - 1).at n=13A340388