Series 1 series 2 series 3 series 4 series 5 …

Diff 1 series: 0 1 2 3 5 …

Diff 2 series: 1 1 2 4 7 …

Diff 3 series: 1 2 4 7 12 …

Diff 4 series: 2 3 6 11 19 …

Diff 5 series: 3 5 10 18 31 …