Let u(1)=u(2)=1, u(3)=2n, u(k) = abs(u(k-1)-u(k-2)-u(k-3)) and M(k) = Max_{i<=i<=k} u(i), then for any k >= A078109(n), M(k) = floor(sqrt(k + a(n))).

A078108

Let u(1)=u(2)=1, u(3)=2n, u(k) = abs(u(k-1)-u(k-2)-u(k-3)) and M(k) = Max_{i<=i<=k} u(i), then for any k >= A078109(n), M(k) = floor(sqrt(k + a(n))).

Terms

    a(0) =4a(1) =24a(2) =156a(3) =184a(4) =324a(5) =608a(6) =940a(7) =1784a(8) =1844a(9) =3104a(10) =5996a(11) =4600a(12) =4484a(13) =6128a(14) =6220a(15) =7208a(16) =8244a(17) =9424a(18) =11740a(19) =13560a(20) =14836a(21) =19264a(22) =19756a(23) =23344a(24) =24524a(25) =26224a(26) =32940a(27) =34912a(28) =34548a(29) =42808

External references