A325514 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A325514

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

2

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

(list; graph; refs; listen; history; text; internal format)

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