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.

A327482 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with mean d = A027750(n, k).

This page as a plain text file.
%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