31672

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 23 ones.at n=24A031791
• a(n) = (2*n-1)*(5*n^2-5*n+2)/2.at n=18A063495
• Numbers n such that log(n!) is closer to an integer than is log(m!) for any m with 2<m<n.at n=11A101506
• Number of 1's in all partitions of n with no even parts repeated.at n=36A117276
• Number of (n+1) X 2 binary arrays with no 2 X 2 subblock commuting with any of its horizontal and vertical 2 X 2 subblock neighbors.at n=7A187721
• Number of (n+1)X9 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=0A187728
• T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=28A187729
• T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=35A187729
• a(n) = n*(7*n^2 - 3*n - 1)/3.at n=24A214659
• Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1.at n=37A233530
• Second column of triangle A233530.at n=7A233532
• Sum of all the middle parts in the partitions of 3n into 3 parts.at n=36A236364
• Number of (n+1) X (2+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=7A237631
• T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=37A237637
• Sum of the middle parts in the partitions of 4n-1 into 3 parts.at n=27A240707
• A255275(2^n-1).at n=7A255276
• Expansion of Product_{i>=1, j>=1} (1 + x^(i*(2*j - 1))).at n=41A327731