29976

Appears in sequences

• Di-Boustrophedon transform of (1,0,0,0,...): Fill in an array by diagonals alternating in the 'up' and 'down' directions. The n-th diagonal starts with the n-th element of (1,0,0,0,...). When going in the 'up' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the row the new element is in. When going in the 'down' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the column the new element is in. The final element of the n-th diagonal is a(n).at n=9A063179
• Triangle of coefficients of di-Boustrophedon transform (see A063179) read by rows: Let the original sequence be (U0,U1,...) and the transformed sequence (V0,V2,...), then Vn is a linear combination of U0,...,Un. T(n,m) is the coefficient that goes with Um to get Vn.at n=45A063415
• sigma(n) + n is a fourth power.at n=3A114071
• Number of sequences of length n whose terms are positive integers less than or equal to n in which the i-th term is greater than both the (i-2)nd and (i-3)rd terms.at n=9A141043
• Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).at n=4A234731
• Number of (n+1) X (5+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).at n=0A234735
• T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).at n=10A234738
• T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).at n=14A234738
• G.f. A(x) satisfies: A(x) = 1/(1 - x^a(0) - x^a(1) - x^a(2) - x^a(3) - ...) - x.at n=14A307545
• Dirichlet self-convolution of the integer partition numbers A000041.at n=35A323764
• Centered pentagonal numbers that are abundant.at n=18A382696
• Expansion of 1/(g * (2-g)), where g = 1+x*g^4 is the g.f. of A002293.at n=7A391209