42112

Appears in sequences

• Theta series of lattice Kappa_7.at n=39A015236
• Numbers k such that sopfr(k) = sopfr(k + sopfr(k)).at n=32A050780
• a(n)=4a(n-1)-4a(n-2)+2a(n-3).at n=11A099216
• Expansion of 8 * (eta(q^2) / eta(q)^2)^8 in powers of q.at n=4A105094
• Number of cribbage hands with score n.at n=11A143133
• 1, followed by list of numbers n such that the number of strong primes and the number of weak primes are equal at the n-th prime.at n=43A175102
• Number of singly defective permutations of 1..n+2 with exactly 2 maxima.at n=4A183265
• T(n,k) is the number of singly defective permutations of 1..n+2*k-2 with exactly k maxima.at n=19A183270
• Number of (n+2) X 10 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=16A190032
• Number of (n+1)X4 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=6A203447
• Number of (n+1)X8 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=2A203451
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=38A203452
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=42A203452
• G.f. satisfies: A(x) = 1/A(-x*A(x)^5).at n=6A214765
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood.at n=38A272512
• E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2 / 6).at n=8A357037
• a(n) = (1+n)*(2*a(n-1) - (n-2)*a(n-2)) with a(0) = a(1) = 1.at n=6A361649
• E.g.f. satisfies A(x) = exp( x * (1+x/2) * A(x) ).at n=6A365053
• Triangle read by rows: T(n, k) = 2^k * hypergeom([-n, -k], [], 1/2).at n=41A375854