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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 (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 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

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Last modified October 14 12:31 EDT 2019. Contains 328006 sequences. (Running on oeis4.)