A325777 Heinz numbers of integer partitions whose distinct consecutive subsequences do not have different sums.

12, 24, 30, 36, 40, 48, 60, 63, 70, 72, 80, 84, 90, 96, 108, 112, 120, 126, 132, 140, 144, 150, 154, 156, 160, 165, 168, 180, 189, 192, 198, 200, 204, 210, 216, 220, 224, 228, 240, 252, 264, 270, 273, 276, 280, 286, 288, 300, 308, 312, 315, 320, 324, 325, 330

Offset

1,1

Comments

First differs from A299729 in lacking 462.

This sequence does not contain all multiples of its elements. For example, it contains 154 (with prime indices {1,4,5}) but not 462 (with prime indices {1,2,4,5}).

Links

Table of n, a(n) for n=1..55.

Mathematica

primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]];
Select[Range[100], !UnsameQ@@Total/@Union[ReplaceList[primeMS[#], {___, s__, ___}:>{s}]]&]

Crossrefs

Complement of A325778.

Cf. A002033, A056239, A112798, A143823, A169942, A299702, A301899, A325676, A325683, A325768, A325769, A325770.

Sequence in context: A098714 A334758 A299729 * A364532 A350056 A334799

Adjacent sequences: A325774 A325775 A325776 * A325778 A325779 A325780

Keyword

nonn

Author

Gus Wiseman, May 20 2019

Status

approved