183195

Appears in sequences

• G.f.: sqrt( (1-x - sqrt(1-14*x+x^2)) / (6*x*(1-14*x+x^2)) ).at n=5A245927
• Number of n X 2 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.at n=6A282051
• T(n,k) = Number of n X k 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.at n=29A282056
• T(n,k) = Number of n X k 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.at n=34A282056
• a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n,3*k)^2.at n=11A307158
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1-2*(k+4)*x+((k-4)*x)^2) * (1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)^2)) )).at n=41A337369