77280

Appears in sequences

• Number of equilateral triangles formed by triples of points taken from a hexagonal chunk of side n in the hexagonal lattice.at n=14A008893
• Number of labeled n-node 4-valent graphs containing a loop.at n=8A058836
• a(n) = 17^n sin(2n arctan(1/4)) or numerator of tan(2n arctan(1/4)).at n=3A067360
• Triangle read by rows: T(n,m) = number of 3-uniform T_0-hypergraphs with n distinct edges and m vertices(n>=3, 1<=m<=2*n+1).at n=14A093854
• Expansion of 1/(1 - 8x + 17x^2).at n=7A106393
• Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1).at n=40A154987
• Numbers with prime factorization pqrst^5.at n=5A190383
• Number of n X 7 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 7 array.at n=17A219501
• Total number of inversions in all permutations of order n consisting of a single cycle.at n=8A227404
• Integer areas of the integer-sided triangles such that the length of the circumradius is a square.at n=26A230479
• Values of y such that x^2 + y^2 = 17^n with x and y coprime and 0 < x < y.at n=7A230623
• Fifth differences of 7th powers (A001015).at n=7A259907
• Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.at n=30A277408
• p-INVERT of the positive integers, where p(S) = 1 - 5*S.at n=5A290903
• Regular triangle where T(n,k) is the number of pairs of set partitions of {1,...,n} with join {{1,...,n}} and meet of length k.at n=25A318390
• Number of permutations p of [n] such that max(|p(p(i)) - i|)=1.at n=10A364819
• Square array A(n,k) = A388979(A388981(n, k)), read by descending antidiagonals.at n=8A389169
• Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^(k-j) * binomial(k,j) * (3+j)^n.at n=33A391552