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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
OFFSET
0,1
COMMENTS
The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
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}]
KEYWORD
nonn
AUTHOR
Gus Wiseman, May 07 2019
STATUS
approved