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 A296150 Triangle whose n-th row is the integer partition with Heinz number n. 175
 1, 2, 1, 1, 3, 2, 1, 4, 1, 1, 1, 2, 2, 3, 1, 5, 2, 1, 1, 6, 4, 1, 3, 2, 1, 1, 1, 1, 7, 2, 2, 1, 8, 3, 1, 1, 4, 2, 5, 1, 9, 2, 1, 1, 1, 3, 3, 6, 1, 2, 2, 2, 4, 1, 1, 10, 3, 2, 1, 11, 1, 1, 1, 1, 1, 5, 2, 7, 1, 4, 3, 2, 2, 1, 1, 12, 8, 1, 6, 2, 3, 1, 1, 1, 13, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Same as A112798 with rows reversed. Row lengths are A001222. Rows sums are A056239. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). LINKS Robert Israel, Table of n, a(n) for n = 1..10002 (rows 1 to 3272, flattened) EXAMPLE Sequence of partitions begins: (), (1), (2), (11), (3), (21), (4), (111), (22), (31), (5), (211), (6), (41), (32), (1111), (7), (221). MAPLE f := n -> op(map(numtheory:-pi, sort(map(`\$`@op, ifactors(n)[2]), `>`))): map(f, [\$1..100]); # Robert Israel, Feb 09 2018 MATHEMATICA Table[If[n===1, {}, Join@@Cases[FactorInteger[n]//Reverse, {p_, k_}:>Table[PrimePi[p], {k}]]], {n, 50}] CROSSREFS Cf. A000041, A000720, A001222, A056239, A063834, A112798, A196545, A215366, A289501, A299200, A299201, A299202, A299203. Sequence in context: A275676 A025831 A184751 * A079673 A124829 A093394 Adjacent sequences:  A296147 A296148 A296149 * A296151 A296152 A296153 KEYWORD nonn,tabf,look AUTHOR Gus Wiseman, Feb 05 2018 STATUS approved

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Last modified May 16 21:28 EDT 2021. Contains 343951 sequences. (Running on oeis4.)