A285588 a(1) = a(2) = 1; a(3) = a(4) = a(5) = 2; a(n) = a(a(n-3)-1) + a(n-a(n-5)-2) for n > 5.

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 16, 17, 17, 17, 19, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 28, 27

Offset: 1

Author

Altug Alkan, Apr 22 2017

Keywords

• nonn

Links

• Altug Alkan, Table of n, a(n) for n = 1..10000
• Altug Alkan, Alternative scatterplot

Crossrefs

Cf. A005185, A055748.

Programs

Mathematica

a[1] = a[2] = 1; a[3] = a[4] = a[5] = 2; a[n_] := a[n] = a[a[n - 3] - 1] + a[n - a[n - 5] - 2]; Array[a, 80] (* Michael De Vlieger, Apr 23 2017 *)

PARI

q=vector(10000); q[1]=q[2]=1;q[3]=q[4]=q[5]=2; for(n=6, #q, q[n]=q[q[n-3]-1]+q[n-q[n-5]-2]); vector(10000, n, q[n])