130816

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=19A000749
• a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=16A002593
• a(n) = 2^(n-1)*( 2^n + (-1)^n ).at n=9A003665
• a(n) = 2^(n-1)*(2^n - 1), n >= 0.at n=9A006516
• Dual pairs of integrals arising from reflection coefficients.at n=18A007179
• Number of Barlow packings with group P6(bar)m2 that repeat after 2n layers.at n=18A011949
• Number of reversible strings with n beads of 2 colors. If more than 1 bead, not palindromic.at n=17A032085
• Sum of every 4th entry of row n in Pascal's triangle, starting at "n choose 0".at n=19A038503
• Number of elements of GF(2^n) with trace 0 and subtrace 0.at n=19A038518
• Number of elements of GF(2^n) with trace 1 and subtrace 1.at n=19A038521
• a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^3.at n=31A053819
• Order of subgroup bP_{m+1} of group Theta_m of h-cobordism classes of smooth homotopy m-spheres defined by those homotopy m-spheres which bound parallelizable (m+1)-manifolds, where m = 2n+1.at n=9A057617
• Triangular numbers whose reverse is prime.at n=26A066751
• Number of subsets of {1, 2, ..., n} that do not contain a subset of the form {x, 2x, 3x}.at n=18A068060
• a(n) = -Sum_{d|n} (-n/d)^d.at n=33A076717
• Infinite lower triangular matrix, M, that satisfies [M^4](i,j) = M(i+1,j+1) for all i,j>=0 where [M^n](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0.at n=25A078536
• a(n) = 2^(4n+1) - 2^(2n).at n=4A079598
• a(n) = A080313(n)/2.at n=19A080315
• Smallest triangular number having n^2 as divisor.at n=15A080983
• a(n) = A000217(n^3) - n^3.at n=8A085744