39520

Appears in sequences

• Low temperature series for spin-1/2 Ising partition function on 2D square lattice.at n=11A002890
• a(n) = (3*n+7)!!!/7!!!.at n=4A051607
• Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n and having k double rises at an even level (n >= 1, k >= 0). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.at n=51A121531
• a(n + 4) = (n + 2)*(a(n + 3) - a(n) + 1) for n > 3, a(0) = a(1) = a(2) = a(3) = 1.at n=10A121987
• Triangle U, read by rows, where U(n,k) = Product_{j=k..n-1} (3*j+1) for n > k with U(n,n) = 1.at n=31A136214
• Terms in A003325 which are sum of two subsequent terms in A003325.at n=8A145732
• Expansion of ((1-x)/(1-2x))^5.at n=9A169792
• Number of permutations of {1,...,n} avoiding adjacent step pattern up, down, down, up, up, up.at n=8A177541
• Number of n X 6 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=10A208377
• a(n) = 2*n*(n+1)*(n+2)/3.at n=38A210440
• Numbers k such that triangular(k) - x and y - triangular(k) are both triangular numbers (A000217), where x is the nearest square below triangular(k), y is the nearest square above triangular(k).at n=33A234143
• van Heijst's upper bound on the number of squares inscribed by a real algebraic curve in R^2 of degree n, if the number is finite.at n=20A239352
• Number of length 3+1 0..n arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero.at n=24A250168
• Number of 4-cycles in the n-polygon diagonal intersection graph.at n=37A300552
• Expansion of Product_{n>=1} (1 - (16*x)^n)^(-1/4).at n=4A303135
• Partial sums of the even triangular numbers (A014494).at n=38A352115