49040

Appears in sequences

• Molien series for A_10.at n=48A008633
• Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=27A025507
• Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=40A028644
• Structured truncated tetrahedral numbers.at n=29A100156
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 1), (1, 0, 0), (1, 1, -1)}.at n=10A148622
• Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0.at n=2A254970
• Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0.at n=2A254973
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0.at n=12A254978
• Indices in A006928 where the imbalance between 1's and 2's sets a new record.at n=40A274775
• a(n) = A289671(n)/2^f(n), where f(n) = 2*floor((n-1)/3) + ((n+2) mod 3) = A004523(n).at n=45A289677
• a(n) = A289677(3*n+1).at n=15A290439