536887296

Appears in sequences

• a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=31A000749
• a(n) = 2^(n-1)*(2^n - (-1)^n).at n=15A003674
• Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.at n=30A005418
• a(n) = 2^(n-1)*(1+2^n).at n=15A007582
• Sum of every 4th entry of row n in Pascal's triangle, starting at "n choose 0".at n=31A038503
• Number of elements of GF(2^n) with trace 0 and subtrace 0.at n=31A038518
• Number of elements of GF(2^n) with trace 1 and subtrace 1.at n=31A038521
• Number of self-complementary 3-place relations on a 2n-element set.at n=1A051269
• Number of undirected walks of length n+1 on an oriented triangle, visiting n+2 vertices, with n "corners"; the symmetry group is C3. Walks are not self-avoiding.at n=29A051437
• a(n) = (n^10 + n^5)/2.at n=8A071236
• Smallest triangular number with n prime factors (counted with multiplicity).at n=18A075088
• a(n) = Sum_{k=0..n} binomial(4n+3,4k).at n=7A090408
• Number of compositions of n with an odd number of 1's.at n=30A113980
• Number of distinct ribbon Schur functions with n boxes; also the number of distinct multisets of partitions determined by all coarsenings of compositions of n.at n=30A120421
• a(2n) = 2^(2n), a(2n+1) = 2^(2n+1) + a(n).at n=29A127804
• A006516 at positions with even indices, A007582 at positions with odd indices.at n=31A137173
• Half the number of n X 2 0..2 arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors.at n=14A183495
• Number of n X 2 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabeled 8-colorings with no clashing color pairs).at n=8A233196
• Triangular numbers representable as 2^x + 2^y.at n=16A262242
• Terms of A354169 that are not powers of 2, in order of appearance.at n=27A354680