41470

Appears in sequences

• Tenth column of quintinomial coefficients.at n=7A000575
• Number of n-bead bracelets (turnover necklaces) with 8 red beads and n-8 black beads.at n=19A005514
• Expansion of (1+6x)/(1-x)^10.at n=7A055994
• Number of 3-element ordered antichains on an unlabeled n-element set; T_1-hypergraphs with 3 labeled nodes and n hyperedges.at n=13A056005
• Engel expansion of Pi^2/6, or zeta(2) = 1.64493.at n=12A059186
• Product of two triangular matrices C*S2.at n=34A064308
• Row sums of triangle A115237.at n=36A115238
• Number of permutations of length n which avoid the patterns 2134, 2143, 4312.at n=10A116754
• Integer squares y from the smallest solutions of y^2 = x*(a^N - x)*(b^N + x) (elliptic line, Weierstrass equation) with a and b legs in primitive Pythagorean triangles and N = 2. Sequence ordered in increasing values of leg a.at n=21A120210
• Number of at most 4-way branching ordered (i.e., plane) trees.at n=9A135413
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=9A149455
• a(n) = 1331*n - 1122.at n=31A157441
• Triangle T(n,k), read by rows, of numbers T(n,k)=C^(4)(n,k) of combinations with repetitions from n different elements over k for each of them not more than four appearances allowed.at n=64A213743
• Squarefree numbers k such that alpha(k) = lambda(k), where alpha(k) = LCM of all (p+1) for primes p dividing k, and lambda(k) = A002322(k).at n=8A287514
• a(n) = 2*n^3 + 9*n^2 + 9*n.at n=26A303609
• Triangle read by rows: T(n,k) is the total number of humps with height k in all Motzkin paths of order n, n >= 2 and 1 <= k <= n/2.at n=37A379838