cp's OEIS Frontend

A325503 Heinz number of row n of the triangle of Stirling numbers of the second kind A008277.

%I A325503 #7 May 07 2019 17:38:08
%S A325503 2,4,20,884,528844,3460086044,340672148731996,477782556719729075524,
%T A325503 11694209380474301218263758996,4967476846044415922850025924897606724,
%U A325503 43298471669920632729336800855543564573041217668,7790810575556906457316064931238939360882160372451591124244
%N A325503 Heinz number of row n of the triangle of Stirling numbers of the second kind A008277.
%C A325503 The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%H A325503 <a href="/index/He#Heinz">Index entries for sequences related to Heinz numbers</a>
%F A325503 a(n) = Product_{i = 1..n} prime(A008277(n,i)).
%F A325503 A061395(a(n)) = A002870(n).
%F A325503 A056239(a(n)) = A000110(n).
%e A325503 The sequence of terms together with their prime indices begins:
%e A325503                               2: {1}
%e A325503                               4: {1,1}
%e A325503                              20: {1,1,3}
%e A325503                             884: {1,1,6,7}
%e A325503                          528844: {1,1,10,15,25}
%e A325503                      3460086044: {1,1,15,31,65,90}
%e A325503                 340672148731996: {1,1,21,63,140,301,350}
%e A325503           477782556719729075524: {1,1,28,127,266,966,1050,1701}
%e A325503   11694209380474301218263758996: {1,1,36,255,462,2646,3025,6951,7770}
%t A325503 Times@@@Table[Prime[StirlingS2[n,k]],{n,1,10},{k,1,n}]
%Y A325503 Cf. A000040, A001222, A002870, A008277, A024412, A056239, A112798, A215366, A325500, A325502.
%K A325503 nonn
%O A325503 1,1
%A A325503 _Gus Wiseman_, May 07 2019