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A325514 Heinz number of row n of the triangle of partition numbers A008284.

%I A325514 #4 May 08 2019 22:20:27
%S A325514 2,2,4,8,24,72,600,4200,101640,2042040,107869080,6435365640,
%T A325514 644779672680,62219208188280,14408598135902520,3195700205016233640,
%U A325514 1246437353286578234760,527744165981695537415640,417665868515500206974318760,314096677106179199154141208440
%N A325514 Heinz number of row n of the triangle of partition numbers A008284.
%C A325514 The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%H A325514 <a href="/index/He#Heinz">Index entries for sequences related to Heinz numbers</a>
%F A325514 A001221(a(n)) = A325512(n).
%F A325514 A061395(a(n)) = A002569(n).
%F A325514 A056239(a(n)) = A000041(n).
%e A325514 The sequence of terms together with their prime indices begins:
%e A325514              2: {1}
%e A325514              2: {1}
%e A325514              4: {1,1}
%e A325514              8: {1,1,1}
%e A325514             24: {1,1,1,2}
%e A325514             72: {1,1,1,2,2}
%e A325514            600: {1,1,1,2,3,3}
%e A325514           4200: {1,1,1,2,3,3,4}
%e A325514         101640: {1,1,1,2,3,4,5,5}
%e A325514        2042040: {1,1,1,2,3,4,5,6,7}
%e A325514      107869080: {1,1,1,2,3,5,5,7,8,9}
%e A325514     6435365640: {1,1,1,2,3,5,5,7,10,10,11}
%e A325514   644779672680: {1,1,1,2,3,5,6,7,11,12,13,15}
%t A325514 Times@@@Table[If[n>0&&k==0,1,Prime[Length[IntegerPartitions[n,{k}]]]],{n,0,20},{k,0,n}]
%Y A325514 Cf. A000041, A002569, A008284, A056239, A112798, A145519, A215366, A325500, A325502, A325503, A325512, A325514.
%K A325514 nonn
%O A325514 0,1
%A A325514 _Gus Wiseman_, May 07 2019