40625

Appears in sequences

• Least hypotenuse of n distinct Pythagorean triangles.at n=16A006339
• a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=25A014205
• a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026374.at n=11A026950
• a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026386.at n=11A026955
• Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4).at n=39A033819
• Hexamorphic numbers: k such that the k-th hexagonal number ends with k.at n=20A039594
• 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=16A046112
• 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=17A054994
• Trimorphic but not bimorphic nor automorphic.at n=30A056032
• Numbers n such that n | 4^n + 3^n + 2^n + 1^n.at n=33A056643
• Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n.at n=28A057288
• The terms of A055237 (sums of two powers of 5) divided by 2.at n=33A073217
• a(n) = numerator( (4*n+1)*(Product_{i=1..n} (2*i-1)/Product_{i=1..n} 2*i)^5 ).at n=3A074799
• Expansion of (1-5x+40x^2)/((1-5x)(1+5x)).at n=6A091105
• Numbers j that are the hypotenuse of exactly 16 distinct integer-sided right triangles, i.e., j^2 can be written as a sum of two squares in 16 ways.at n=0A097238
• Table read by antidiagonals of least integer "mod 4 prime signatures" k ordered by number of primitive Pythagorean triples with hypotenuse = k.at n=38A097754
• Table read by rows of A054994 ordered by A046080.at n=22A097756
• E.g.f. exp(5x)/(1-5x).at n=4A097816
• Numbers of the form (5^i)*(13^j).at n=19A107466
• Multiply sequence A007775 (1 7 11 13 ...) by sequence A000351 (1 5 25 125 ...).at n=41A135766