OFFSET
1,2
COMMENTS
This triangle lists the "descending sequences across ranks" of Eggleton et al.
REFERENCES
R. B. Eggleton, J. S. Kimberley and J. A. MacDougall, Square-free rank of integers, submitted.
LINKS
EXAMPLE
The first 23 rows are:
1;
2, 1;
3, 2, 1;
4, 2;
5, 3, 2;
6, 4, 3, 2;
7, 4;
8, 5, 4, 3;
9, 6;
10, 7, 5;
11, 7;
12, 8, 6;
13, 9, 7, 5;
14, 9;
15, 10, 8, 6;
16, 11;
17, 12, 9;
18, 12;
19, 13, 10;
20, 14, 11, 8;
21, 14;
22, 15, 12, 9, 8;
23, 16, 13, 10, 9, 8;
MATHEMATICA
Map[Last, #, {2}] &@ Map[TakeWhile[FoldList[Function[s, Boole[s < 0] {First@ #2, Last@ #2}][First@ #2 - First@ #1] &, #], Total@ # > 0 &] &, #] &@ Map[DeleteCases[#, {0, 0}] &, Table[Boole[SquareFreeQ@ k] {k #^2, #} &@ Floor[n/Sqrt@ k], {n, 32}, {k, n^2}] ] // Flatten (* Michael De Vlieger, Nov 24 2016 *)
PROG
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Jason Kimberley, Nov 15 2016
STATUS
approved