44200

Appears in sequences

• Coordination sequence for D_5 lattice.at n=7A008355
• Even numbers to the left of the central elements of the (1,2)-Pascal triangle A029635.at n=44A029647
• Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653.at n=40A029661
• Expansion of (1+x)/(1-x)^12.at n=7A057788
• a(n) = Product_{i=1..n} (i^2 + 1).at n=5A101686
• Square array T(n,k) read by antidiagonals: coordination sequence for lattice D_n.at n=43A103903
• Minimal covering numbers.at n=29A160559
• Number of (w,x,y,z) with all terms in {1,...,n} and w<=2x and y<=3z.at n=16A212513
• Degrees of irreducible representations of simple Chevalley group F4(2).at n=10A214481
• Degrees of irreducible representations of simple Chevalley group F4(2).at n=11A214481
• a(n) = (1^2 + 1)*(2^2 + 1)*(3^2 + 1)*...*(((prime(n) - 1)/2)^2 + 1).at n=3A228120
• For every positive integer m, let u(m) = (d(1),d(2),...,d(k)) be the unitary divisors of m. The sequence (a(n)) consists of successive numbers m which d(k)/d(1) + d(k-1)/d(2) + ... + d(k)/d(1) is an integer.at n=16A229996
• a(n) = CatalanNumber(n+1)*n*(1+3*n)/(6+2*n).at n=8A265612
• Triangle read by rows, Lah numbers of order 2, T(n,n) = 1, T(n,k) = 0 if k<0 or k>n, otherwise T(n,k) = T(n-1,k-1)+((n-1)^2+k^2)*T(n-1,k), for n>=0 and 0<=k<=n.at n=22A268434
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=39A269912
• Max coefficient in n-th Lucas polynomial.at n=25A277282
• Positive integers that have a record number of divisors in Gaussian integers.at n=37A279254
• a(n) = 2*(3*n+1)*(9*n+8).at n=28A304506
• Numbers that set a record for occurrences as longest side of a triangle with integer sides and positive integer area.at n=44A322105
• Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0.at n=31A364513