47917

Properties

Appears in sequences

• a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=46A033499
• a(n) = n^3 - 2*n^2 + 2.at n=36A100109
• a(n)=the sum of the (1,2)- and (1,3)-entries and twice the (1,4)-entry of the matrix P^n + T^n, where the 4 X 4 matrices P and T are defined by P=[0,1,0,0;0,0,1,0;0,0,0,1;1,0,0,0] and T=[0,1,0,0;0,0,1,0;0,0,0,1;1,0,0,1].at n=35A109526
• a(n) = 44*n^2 + 1.at n=33A158630
• Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=39A256811
• Number of integers in n-th generation of tree T(3^(-1/2)) defined in Comments.at n=52A274157
• Number of nX6 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=12A298053
• Prime numbersat n=4938