166816

Appears in sequences

• Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points.at n=28A164998
• Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles of length greater than 1.at n=21A165000
• E.g.f. A(x) satisfies A( x/(exp(3*x)*cosh(3*x)) ) = exp(x)*cosh(x).at n=5A218305
• Number of (n+1) X (1+1) 0..3 arrays with the upper median unequal to the lower median in every 2 X 2 subblock.at n=3A235843
• Number of (n+1)X(4+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock.at n=0A235846
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock.at n=6A235849
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock.at n=9A235849
• a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n-1,3*k) * a(3*k) * a(n-1-3*k).at n=12A386202