55957
domain: N
Appears in sequences
- Number of essentially different semi-magic squares of order 3 with semimagic sum n.at n=41A122751
- Number of 4X3 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 4 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=9A192704
- G.f. A(x) satisfies: 1 = Sum_{n>=0} ( 1 + x*A(x)^(n+2) - A(x) )^n.at n=8A303925
- Hash Parker numbers: Integers whose real 32nd root's first six nonzero digits (after the decimal point) rearranged in ascending order are equal to 234477.at n=26A309979
- a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k,k) * Catalan(k).at n=32A360026