OFFSET
0,10
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..11731 (rows 0 <= n <= 26).
Eric Weisstein's World of Mathematics, Durfee Square.
FORMULA
If partition is laid out in descending order p(1),p(2),...,p(k) without repetition factors (e.g. [3,2,2,1,1,1]), a(P) = max_k min(k,p(k)).
EXAMPLE
First few rows:
0;
1,1;
1,1,1;
1,1,2,1,1;
1,1,2,1,2,1,1;
MATHEMATICA
{0}~Join~Array[Map[Block[{k = Length@ #}, While[Nand[k > 0, AllTrue[Take[#, k], # >= k &]], k--]; k] &, IntegerPartitions@ #] &, 10] // Flatten (* Michael De Vlieger, Jan 17 2020 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Franklin T. Adams-Watters, Mar 11 2006
STATUS
approved