22149

Appears in sequences

• Starting numbers for which the RATS sequence has eventual period 3.at n=3A114613
• Least multiple of 2n-1 ending in prime(n), 0 if no such number exists.at n=34A114780
• Number of essentially different semi-magic squares of order 3 with semimagic sum n.at n=32A122751
• Number of nX2 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or two horizontal or vertical neighbors.at n=10A199240
• E.g.f. A(x) satisfies: A'(x) = A(x*A'(x)^2) with A(0)=1.at n=6A231866
• Number of n X 3 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=25A252831
• Numbers k such that phi(k, 2) = phi(k+1, 2), where phi(k, 2) = A002472(k).at n=14A301868
• E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 - S(x,y)^2 = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n+1-2*k)*y^(2*k)/((2*n+1-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.at n=22A322220
• E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 - S(x,y)^2 = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n+1-2*k)*y^(2*k)/((2*n+1-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.at n=26A322220
• A column of triangle A322220; a(n) = A322220(n,1) for n >= 1.at n=5A325153
• Number of unlabeled loopless multigraphs with 4 nodes of degree n or less.at n=16A333897
• Triangle read by rows: T(n,k) = T(n,k-1) + T(n-1, k) + T(n-1,k-1) with T(n,0) = T(n, n) = 1 (n >= 0, 0 <= k <= n).at n=51A336858
• Mirror image of triangular array A336858.at n=48A336859
• a(n) = Sum_{k=1..n} (-1)^(k+1) * floor(n/k)^3.at n=28A344721
• Number of partitions of n with at most four part sizes.at n=44A364793
• E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 + S(x,y)^2 = 1 and C(y,x) = 1 - Integral S(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows.at n=22A367380
• E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 + S(x,y)^2 = 1 and C(y,x) = 1 - Integral S(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows.at n=26A367380