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A243503
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Sums of parts of partitions (i.e., their sizes) as ordered in the table A241918: a(n) = Sum_{i=A203623(n-1)+2..A203623(n)+1} A241918(i).
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15
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0, 1, 2, 2, 3, 4, 4, 3, 3, 6, 5, 6, 6, 8, 5, 4, 7, 5, 8, 9, 7, 10, 9, 8, 4, 12, 4, 12, 10, 8, 11, 5, 9, 14, 6, 7, 12, 16, 11, 12, 13, 11, 14, 15, 7, 18, 15, 10, 5, 7, 13, 18, 16, 6, 8, 16, 15, 20, 17, 11, 18, 22, 10, 6, 10, 14, 19, 21, 17, 10, 20, 9, 21, 24, 6, 24
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OFFSET
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1,3
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COMMENTS
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Each n occurs A000041(n) times in total.
Where are the first and the last occurrence of each n located?
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LINKS
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FORMULA
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MATHEMATICA
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Table[If[n==1, 0, With[{y=Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]}, Last[y]*Length[y]+Last[y]-Total[y]+Length[y]-1]], {n, 100}] (* Gus Wiseman, Jan 09 2023 *)
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CROSSREFS
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Sums of even-indexed rows of A358172.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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