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 A325505 Heinz number of the set of Heinz numbers of all strict integer partitions of n. 7
 2, 3, 5, 143, 493, 62651, 26718511, 22017033127, 44220524211551, 52289759420183033963, 546407750301194131199484983, 8362548333129019658779663581495109, 1828111016191440393570169991636207115709029581, 1059934964500839879758659437301868941873808925011368355891 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The Heinz number of a set or sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k). Also Heinz numbers of rows of A246867 (squarefree numbers arranged by sum of prime indices A056239). LINKS FORMULA a(n) = Product_{i = 1..A000009(n)} prime(A246867(n,i)). A001221(a(n)) = A001222(a(n)) = A000009(n). A056239(a(n)) = A147655(n). A003963(a(n)) = A325506(n). EXAMPLE The strict integer partitions of 5 are {(5), (4,1), (3,2)}, with Heinz numbers {11,14,15}, with Heinz number prime(11)*prime(14)*prime(15) = 62651, so a(6) = 62651. The sequence of terms together with their prime indices begins:                             2: {1}                             3: {2}                             5: {3}                           143: {5,6}                           493: {7,10}                         62651: {11,14,15}                      26718511: {13,21,22,30}                   22017033127: {17,26,33,35,42}                44220524211551: {19,34,39,55,66,70}          52289759420183033963: {23,38,51,65,77,78,105,110}   546407750301194131199484983: {29,46,57,85,91,102,130,154,165,210} MATHEMATICA Table[Times@@Prime/@(Times@@Prime/@#&/@Select[IntegerPartitions[n], UnsameQ@@#&]), {n, 7}] CROSSREFS Cf. A001222, A003963, A015723, A056239, A066189, A112798, A145519, A147655, A215366, A246867, A325500 (non-strict version), A325504, A325506, A325512, A325513. Sequence in context: A041343 A229349 A160600 * A319609 A140551 A064936 Adjacent sequences:  A325502 A325503 A325504 * A325506 A325507 A325508 KEYWORD nonn AUTHOR Gus Wiseman, May 07 2019 STATUS approved

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Last modified June 22 06:39 EDT 2021. Contains 345373 sequences. (Running on oeis4.)