30665

Appears in sequences

• Decimal part of cube root of a(n) starts with 3: first term of runs.at n=29A034129
• Number of ways to split 1, 2, 3, ..., 6n into n arithmetic progressions each with 6 terms.at n=13A104432
• 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, -1, 0), (-1, 0, 0), (-1, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=9A149206
• G.f.: exp( Sum_{n>=1} A000984(n)*A000172(n)/4 * x^n/n ), which involves central binomial coefficients (A000984) and Franel numbers (A000172).at n=5A199816
• Number of (n+2) X (1+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1.at n=9A255020
• a(n) = 2*F(n-1) + 2*F(n-3) + 10*F(n-5) + 9*F(n-8) where n >= 8 and F = A000045.at n=13A280932
• Number of arrangements of rooks with rotational symmetry on a triangular grid with n grid points on each side and no two rooks on the same row, column or diagonal.at n=22A326611
• Total number of 1's in the binary expansion of parts in all partitions of n into distinct parts.at n=48A347060