42732

Appears in sequences

• Number of n-step spirals on hexagonal lattice.at n=14A006776
• Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n.at n=53A138177
• Number of descents in all involutions of {1,2,...,n}.at n=10A161125
• Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=9A166777
• Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=27A192705
• G.f.: exp( Sum_{n>=1} x^n/n * exp( Sum_{k>=1} Lucas(n*k)*x^(n*k)/k ) ) where Lucas(n) = A000032(n).at n=17A203318
• Numbers k such that Bernoulli number B_{k} has denominator 1919190.at n=26A295595
• Number of nonnegative solutions to (x_1)^2 + (x_2)^2 + ... + (x_8)^2 <= n.at n=27A341403
• Triangle read by rows: T(n,k) is the number of ways to place k non-attacking kings in each row and column of an n X n board, 0 <= k <= floor(n/4) + [n=1].at n=31A387098
• Number of ways to place 3 non-attacking kings in each row and column of an n X n board.at n=1A389770