32754

Appears in sequences

• a(n) = 2^(n+1) - n.at n=13A095768
• Row sums of triangle A132044.at n=15A132045
• Number of n X 10 binary arrays with all 1s connected, a path of 1s from top row to bottom row, and no 1 having more than two 1s adjacent.at n=2A163722
• Number of n X 3 binary arrays with all 1s connected, a path of 1s from left column to right column, and no 1 having more than two 1s adjacent.at n=9A163724
• G.f. satisfies A(x) = 1 + x*cycle_index(Sym(7), A(x)).at n=14A182378
• Number of n X 1 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,0,4,2 for x=0,1,2,3,4.at n=17A196700
• Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=6A197238
• Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=3A197241
• T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=48A197242
• T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=51A197242
• Permutation of natural numbers: a(n) = A243071(A245612(n)).at n=39A253892
• Numbers n such that A003144(n) = floor(alpha*n) + 1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=5A275158
• Numbers n such that A003146(n) = floor(alpha^3*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=32A278353
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 54", based on the 5-celled von Neumann neighborhood.at n=29A285610
• Expansion of Product_{k>=1} ((1 + x^k)/(1 - x^k))^(k*(k-1)/2).at n=14A294780
• Number of rooted trees with 2n nodes where each node has at most n children.at n=7A299039
• a(n) = -(A(n) - A(n-1)) where A(n) = A057597(n+1), for n >= 0.at n=34A319200
• Number of nonaligned trivalent dissections of a rectangle into n rectangles.at n=8A375132
• Expansion of g^3/(1 + x*g), where g = 1+x*g^3 is the g.f. of A001764.at n=7A391404