A018244 A self-generating sequence: there are a(n) (k+1)'s between successive k's, where k=3.

3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4

Offset: 1

Author

Jonas Wallgren

Keywords

• nonn

Crossrefs

Cf. A001468, A007538.

Programs

Maple

k := 3; A018244 := proc(n) global k; floor(n*(k+sqrt(k^2+4*k))/2)-floor((n-1)*(k+sqrt(k^2+4*k))/2); end;