OFFSET
0,5
COMMENTS
An anti-run is a sequence with no adjacent equal terms. The minima of maximal anti-runs in a sequence are obtained by splitting it into maximal anti-run subsequences and taking the least term of each.
Also the number of reversed integer partitions of n such that the minima of maximal anti-runs are not all different.
EXAMPLE
The a(0) = 0 through a(8) = 14 reversed partitions:
. . (11) (111) (22) (113) (33) (115) (44)
(112) (1112) (114) (223) (116)
(1111) (11111) (222) (1114) (224)
(1113) (1123) (1115)
(1122) (1222) (1124)
(11112) (11113) (1133)
(111111) (11122) (2222)
(111112) (11114)
(1111111) (11123)
(11222)
(111113)
(111122)
(1111112)
(11111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], !UnsameQ@@Min/@Split[#, UnsameQ]&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Aug 17 2024
STATUS
approved