51324

Appears in sequences

• Number of lines through exactly 3 points of an n X n grid of points.at n=37A018810
• Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 3).at n=51A035536
• Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3).at n=17A035592
• Measures of entanglement in 3-qbits.at n=25A129548
• Number of n X 6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 1 vertically.at n=14A208778
• a(n) = n*(n+1)*(n+2)*(n+3)*(2*n^2+6*n+7)/360.at n=13A259181
• Fixed points of the function A260529(n) = concatenation of the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the rightmost digit etc., skipping digits which don't occur.at n=34A260275
• Expansion of Sum_{k>=1} prime(k)*x^prime(k)/(1 - x^prime(k)) * Product_{k>=1} 1/(1 - x^prime(k)).at n=51A276560
• Decimal encoding T(n,k) of the k-th non-averaging permutation of [n]; triangle T(n,k), n >= 0, k = 1..A003407(n), read by rows.at n=36A292523
• Decimal representation of permutations of lengths 1, 2, 3, ...at n=34A306428
• G.f. A(x) satisfies 1/x = Sum_{n=-oo..+oo} A(x)^n * (A(x)^n + 2)^(n+1).at n=6A379202