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

2, 2, 4, 8, 24, 72, 600, 4200, 101640, 2042040, 107869080, 6435365640, 644779672680, 62219208188280, 14408598135902520, 3195700205016233640, 1246437353286578234760, 527744165981695537415640, 417665868515500206974318760, 314096677106179199154141208440

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..19.

Index entries for sequences related to Heinz numbers

Formula

A001221(a(n)) = A325512(n).

A061395(a(n)) = A002569(n).

A056239(a(n)) = A000041(n).

Example

The sequence of terms together with their prime indices begins:
             2: {1}
             2: {1}
             4: {1,1}
             8: {1,1,1}
            24: {1,1,1,2}
            72: {1,1,1,2,2}
           600: {1,1,1,2,3,3}
          4200: {1,1,1,2,3,3,4}
        101640: {1,1,1,2,3,4,5,5}
       2042040: {1,1,1,2,3,4,5,6,7}
     107869080: {1,1,1,2,3,5,5,7,8,9}
    6435365640: {1,1,1,2,3,5,5,7,10,10,11}
  644779672680: {1,1,1,2,3,5,6,7,11,12,13,15}

Mathematica

Times@@@Table[If[n>0&&k==0, 1, Prime[Length[IntegerPartitions[n, {k}]]]], {n, 0, 20}, {k, 0, n}]

Crossrefs

Cf. A000041, A002569, A008284, A056239, A112798, A145519, A215366, A325500, A325502, A325503, A325512, A325514.

Sequence in context: A121853 A064451 A223027 * A032440 A145869 A032439

Adjacent sequences: A325511 A325512 A325513 * A325515 A325516 A325517

Keyword

nonn

Author

Gus Wiseman, May 07 2019

Status

approved