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.
%I A381332 #18 Aug 18 2025 06:27:26
%S A381332 1,1,2,4,6,11,19,31,52,86,146,231,392,615,1006,1594,2612,4062,6518,
%T A381332 10116,15958,24557,38565,58548
%N A381332 a(n) is the number of different hooklength lists of the plane partitions of n.
%C A381332 The hooklength list of a plane partition is the sorted list of 3D hooklengths of its 3D Ferrers plot, analogous to the classic 2D case.
%H A381332 Wouter Meeussen, <a href="/A094504/a094504_1.txt">Mma functions for plane and solid partitions</a>
%e A381332 The plane partition {{2,1},{2}} has hooklengths {{{4,2},{1}},{{2,1}}} and so hooklength list is {4,2,2,1,1}. So a(2) = 1.
%e A381332 The 24 plane partitions of n=5 generate only these 6 hooklength lists: {4,2,2,1,1}, {4,3,2,1,1}, {5,2,1,1,1}, {5,2,2,1,1}, {5,3,2,1,1}, {5,4,3,2,1}. So a(5) = 6.
%t A381332 Table[Length[Union[planehooks/@planepartitions[n]]],{n,20}]
%Y A381332 Cf. A097391, A094504, A000219, A000041.
%K A381332 nonn,more
%O A381332 1,3
%A A381332 _Wouter Meeussen_, Feb 20 2025