30824

Appears in sequences

• a(n)-th prime is sum of first k primes for some k.at n=36A020641
• Number of n X n binary matrices with each 1 having at most 2 adjacent 1's.at n=4A068471
• G.f. satisfies: A(x) = theta_3(x*A(x)) where Jacobi theta_3(x) = 1 + 2*Sum_{n>=1} x^(n^2).at n=10A166952
• Number of partitions of n such that 2*(greatest part) > (number of parts).at n=39A237754
• Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors.at n=3A283126
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors.at n=24A283130
• G.f. A(x) satisfies: (1 + x)/(1 - x) = A(x)*A(x^2)^2*A(x^3)^3*A(x^4)^4* ... *A(x^k)^k* ...at n=26A307659
• Number of (strict) compositions of n whose differences of all degrees are nonzero.at n=21A325851
• G.f. A(x,y) satisfies 1/x = Sum_{n=-oo..+oo} A(x,y)^n * (A(x,y)^n + y)^(n+1), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows.at n=55A379200