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A327482 Irregular triangle read by rows where T(n,d) is the number of integer partitions of n with mean d|n. 75

%I #5 Sep 13 2019 17:05:18

%S 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 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 84,64,10,1,1,105,37,1,1,56,11,1

%N Irregular triangle read by rows where T(n,d) is the number of integer partitions of n with mean d|n.

%e Triangle begins:

%e 1

%e 1 1

%e 1 1

%e 1 2 1

%e 1 1

%e 1 3 3 1

%e 1 1

%e 1 5 4 1

%e 1 7 1

%e 1 7 5 1

%e 1 1

%e 1 11 15 12 6 1

%e 1 1

%e 1 15 7 1

%e 1 30 19 1

%e 1 22 34 8 1

%t Table[Length[Select[IntegerPartitions[n],Mean[#]==d&]],{n,20},{d,Divisors[n]}]

%Y Row sums are A067538.

%Y The version for subsets is A327481.

%Y Cf. A066571, A237984, A240850, A327474, A327483, A327484.

%K nonn,tabf

%O 1,7

%A _Gus Wiseman_, Sep 13 2019

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Last modified March 29 05:16 EDT 2024. Contains 371264 sequences. (Running on oeis4.)