853776

Appears in sequences

• a(n) = binomial(2n, n)^2.at n=6A002894
• Expansion of theta series of E_7 lattice in powers of q^2.at n=34A004008
• Squares of even elements in Pascal's triangle A007318.at n=37A014727
• Squares of distinct elements in Pascal triangle.at n=34A014764
• a(n) = binomial(n, floor(n/2))^2 = A001405(n)^2.at n=12A018224
• a(n) = (2*n*(n+1))^2.at n=21A060300
• Expansion of (1+4x)/AGM(1+4x,1-4x) where AGM denotes the arithmetic-geometric mean.at n=12A092266
• Irregular triangle, read by rows, T(n, k) = binomial(2*n, k)*binomial(2*k, k).at n=42A156789
• Norm of coefficients in g.f. C(x) that satisfies: C(x) = 1 + x/C(I*x).at n=26A193384
• Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938.at n=39A199400
• Number of (n+1)X(1+1) 0..3 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise.at n=4A235518
• T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with 2 X 2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise.at n=10A235521
• T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with 2 X 2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise.at n=14A235521
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and columnwise.at n=10A235652
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and columnwise.at n=14A235652
• Squares that do not contain a shorter substring that is a square.at n=17A238334
• a(n) = binomial(n,floor(n/2))*binomial(n+1,floor(n/2+1/2))*(1+floor(n/2))/(1+2*floor(n/2)).at n=12A241530
• Areas of primitive Heronian triangles K which are perfect squares.at n=22A248108
• Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum.at n=18A258886
• Square array A(n,k) = (2*n)! [x^n] BesselI(0, 2*sqrt(x))^k read by antidiagonals.at n=42A287318