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

2, 4, 20, 884, 528844, 3460086044, 340672148731996, 477782556719729075524, 11694209380474301218263758996, 4967476846044415922850025924897606724, 43298471669920632729336800855543564573041217668, 7790810575556906457316064931238939360882160372451591124244

Offset: 1

Author

Gus Wiseman, May 07 2019

Keywords

• nonn

Comments

The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k).

Examples

			The sequence of terms together with their prime indices begins:
                              2: {1}
                              4: {1,1}
                             20: {1,1,3}
                            884: {1,1,6,7}
                         528844: {1,1,10,15,25}
                     3460086044: {1,1,15,31,65,90}
                340672148731996: {1,1,21,63,140,301,350}
          477782556719729075524: {1,1,28,127,266,966,1050,1701}
  11694209380474301218263758996: {1,1,36,255,462,2646,3025,6951,7770}
		

Links

• Index entries for sequences related to Heinz numbers

Crossrefs

Cf. A000040, A001222, A002870, A008277, A024412, A056239, A112798, A215366, A325500, A325502.

Programs

Mathematica

Times@@@Table[Prime[StirlingS2[n,k]],{n,1,10},{k,1,n}]

Formula

a(n) = Product_{i = 1..n} prime(A008277(n,i)).

A061395(a(n)) = A002870(n).

A056239(a(n)) = A000110(n).