437500

Appears in sequences

• Triangle of coefficients in expansion of (1+5x)^n.at n=42A013612
• Triangle of coefficients in expansion of (4 + 5*x)^n.at n=34A013628
• Triangle whose (i,j)-th entry is 5^(i-j)*binomial(i,j).at n=38A038243
• Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*4^j.at n=29A038246
• 5th binomial transform of (0,0,1,0,0,0, ...).at n=8A081135
• a(n) = 5^(n-1)*n*(n+1)/2.at n=7A084902
• Numbers n that are the hypotenuse of exactly 6 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 6 ways.at n=19A097219
• Triangle, read by rows, of Stirling numbers of second kind, S2(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.at n=25A105197
• Triangle by rows T(n,k), showing the number of meanders with length (n+1)*4 and containing (k+1)*4 Ls and (n-k)*4 Rs, where Ls and Rs denote arcs of equal length and a central angle of 90 degrees which are positively or negatively oriented.at n=24A197653
• Main transitions in systems of n particles with spin 2.at n=6A212699
• 3 X 3 X 3 triangular graph without horizontal edges coloring a rectangular array: number of n X 1 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=14A223346
• Triangle read by rows: T(0,0) = 1; T(n,k) = 5*T(n-1,k) + T(n-2,k-1) for k = 0..floor(n/2); T(n,k)=0 for n or k < 0.at n=32A305837
• Number T(n,k) of endofunctions on [n] with exactly k fixed points, all of which are isolated; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=38A349454