35328

Appears in sequences

• Expansion of (1-x)/(1-2*x-2*x^3+2*x^4).at n=14A052971
• Number of ways of getting (at least) 5 of a kind, a straight flush, 4 of a kind, flush, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 2 jokers.at n=5A057803
• Numbers k such that sigma (x) = k has exactly 12 solutions.at n=34A060676
• Third binomial transform of binomial(n+3, 3).at n=6A081896
• T(n,k) is the number of n-step king-knight's tours (piece capable of both kinds of moves) on a k X k board summed over all starting positions.at n=42A187850
• Number of 7-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions.at n=2A187855
• Triangular array: the fusion of polynomial sequences P and Q given by p(n,x) = (2x+1)^n and q(n,x) = (2x+1)^n.at n=47A193730
• Mirror of the triangle A193730.at n=52A193731
• a(n+1) = Sum_{k=0..n, n XOR k <= n} a(k)*a(n XOR k) for n>=0 with a(0)=1.at n=11A200337
• Number of defective 4-colorings of an n X 2 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order.at n=10A229572
• 2-dimensional array T(n, k) listed by antidiagonals for n >= 2, k >= 1 giving the number of acyclic paths of length k in the graph G(n) whose vertices are the integer lattice points (p, q) with 0 <= p, q < n and with an edge between v and w iff the line segment [v, w] contains no other integer lattice points.at n=22A247944
• Numbers n such that there exists an x!=n that makes {x,x,n} an amicable multiset.at n=8A259303
• Number of nX3 0..n*3-1 arrays with upper left zero and lower right n*3-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two.at n=3A265632
• T(n,k) is the number of n X k 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two.at n=18A265635
• Number of 4Xn 0..4*n-1 arrays with upper left zero and lower right 4*n-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two.at n=2A265638
• Expansion of x^4*(5 - 16*x + 13*x^2)/(1 - 2*x)^4.at n=12A268587
• Solutions y to the negative Pell equation y^2 = 72*x^2 - 332928 with x,y >= 0.at n=8A281236
• Triangle read by rows: T(n,k) = number of parking functions of length n whose lead number is k.at n=24A298592
• a(1)= 2. For n > 1, a(n) is the least number k such that k, k - a(n-1) and k + a(n-1) all have n prime divisors counted by multiplicity.at n=10A365852