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A084835 a(n) = A000094(n+4) - A006918(n). 3
0, 0, 0, 0, 0, 1, 2, 5, 10, 18, 30, 49, 75, 112, 163, 231, 322, 441, 595, 792, 1045, 1361, 1760, 2255, 2871, 3626, 4559, 5691, 7077, 8750, 10780, 13216, 16156, 19662, 23868, 28866, 34828, 41882, 50262, 60138 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,7
COMMENTS
Also the number of integer partitions of n - 3 with Durfee square of length > 2, i.e., those with at least 3 parts > 2. The Heinz numbers of these partitions are given by A307515. - Gus Wiseman, Apr 12 2019
LINKS
MAPLE
A084845 := proc(n)
A000094(n+4)-A006918(n)
end proc:
seq(A084845(n), n=1..40) ; # R. J. Mathar, May 17 2016
MATHEMATICA
durf[ptn_]:=Length[Select[Range[Length[ptn]], ptn[[#]]>=#&]];
Table[Length[Select[IntegerPartitions[n], durf[#]>2&]], {n, 0, 30}] (* Gus Wiseman, Apr 12 2019 *)
CROSSREFS
Sequence in context: A177787 A104688 A117485 * A298107 A034350 A006327
KEYWORD
nonn
AUTHOR
Jon Perry, Jul 12 2003
STATUS
approved

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Last modified May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)