cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A084835 a(n) = A000094(n+4) - A006918(n).

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%I A084835 #9 Apr 12 2019 15:35:08
%S A084835 0,0,0,0,0,1,2,5,10,18,30,49,75,112,163,231,322,441,595,792,1045,1361,
%T A084835 1760,2255,2871,3626,4559,5691,7077,8750,10780,13216,16156,19662,
%U A084835 23868,28866,34828,41882,50262,60138
%N A084835 a(n) = A000094(n+4) - A006918(n).
%C A084835 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
%p A084835 A084845 := proc(n)
%p A084835     A000094(n+4)-A006918(n)
%p A084835 end proc:
%p A084835 seq(A084845(n),n=1..40) ; # _R. J. Mathar_, May 17 2016
%t A084835 durf[ptn_]:=Length[Select[Range[Length[ptn]],ptn[[#]]>=#&]];
%t A084835 Table[Length[Select[IntegerPartitions[n],durf[#]>2&]],{n,0,30}] (* _Gus Wiseman_, Apr 12 2019 *)
%Y A084835 Cf. A000094, A006918, A096771, A115720, A257990, A307515, A325164, A325192.
%K A084835 nonn
%O A084835 1,7
%A A084835 _Jon Perry_, Jul 12 2003