A354763 a(n) is the minimum number of square tiles needed for constructing a figure whose corresponding graph has n cycles.
0, 4, 7, 6, 9, 12, 8, 11, 14, 13, 10, 13, 16, 15, 18, 12, 15, 18, 17, 20, 23, 14, 17, 20, 19, 22, 25, 21, 16, 19, 22, 21, 24, 27, 23, 26, 18, 21, 24, 23, 26, 29, 25, 28, 31, 20, 23, 26, 25, 28, 31, 27, 30, 33, 32, 22, 25, 28, 27, 30, 33, 29, 32, 35, 34, 31, 24
Offset: 0
Links
- Stefano Spezia, Illustrations for n = 1..10
Programs
-
Mathematica
r[n_]:=First[IntegerPartitions[n,All,Table[k(k+1)/2,{k,Sqrt[1+8n]}]]]; (* A354762 *) Join[{0}, Table[1+Sum[Sqrt[1+8Part[r[n],i]],{i,Length[r[n]]}],{n,66}]]
Comments