55447

Appears in sequences

• Number of n X n binary matrices with no 2 adjacent 1's, or number of configurations of non-attacking princes on an n X n board, where a "prince" attacks the four adjacent (non-diagonal) squares. Also number of independent vertex sets in an n X n grid.at n=5A006506
• Number of independent subsets of 5^n cube (P_5 X ... X P_5).at n=2A027680
• Numbers n such that 167*2^n+1 is prime.at n=5A032460
• Starts of runs of exactly 6 consecutive nonsquarefree numbers.at n=4A049535
• Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column.at n=40A089934
• Number of 5 X n matrices with entries {0,1} without adjacent 0's in any row or column. 5th row of A089934.at n=4A089936
• Array read by antidiagonals: T(n,m) = number of independent sets in the grid graph P_n X P_m.at n=60A089980
• Duplicate of A006506.at n=5A181030
• Array read by antidiagonals: T(n,k) = number of n X k binary matrices with no initial bit string in any row or column divisible by 4.at n=60A181031
• The simple continued fraction expansion of F(x) := Product_{n >= 0} (1 - x^(4*n+3))/(1 - x^(4*n+1)) when x = (1/2)*(9 - sqrt(77)).at n=9A221367
• Main diagonal of Unlucky array: a(n) = A255543(n,n).at n=38A255549
• Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k).at n=22A386637