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 A327482 #8 Mar 05 2025 22:05:06 %S A327482 1,1,1,1,1,1,2,1,1,1,1,3,3,1,1,1,1,5,4,1,1,7,1,1,7,5,1,1,1,1,11,15,12, %T A327482 6,1,1,1,1,15,7,1,1,30,19,1,1,22,34,8,1,1,1,1,30,58,27,9,1,1,1,1,42, %U A327482 84,64,10,1,1,105,37,1,1,56,11,1 %N A327482 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with mean d = A027750(n, k). %e A327482 Triangle begins: %e A327482 1 %e A327482 1 1 %e A327482 1 1 %e A327482 1 2 1 %e A327482 1 1 %e A327482 1 3 3 1 %e A327482 1 1 %e A327482 1 5 4 1 %e A327482 1 7 1 %e A327482 1 7 5 1 %e A327482 1 1 %e A327482 1 11 15 12 6 1 %e A327482 1 1 %e A327482 1 15 7 1 %e A327482 1 30 19 1 %e A327482 1 22 34 8 1 %t A327482 Table[Length[Select[IntegerPartitions[n],Mean[#]==d&]],{n,20},{d,Divisors[n]}] %Y A327482 Row sums are A067538. %Y A327482 The version for subsets is A327481. %Y A327482 Cf. A027750, A066571, A237984, A240850, A327474, A327483, A327484. %K A327482 nonn,tabf %O A327482 1,7 %A A327482 _Gus Wiseman_, Sep 13 2019 %E A327482 Name edited by _Peter Munn_, Mar 05 2025