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A325700 Numbers with as many distinct even as distinct odd prime indices. 2
1, 6, 12, 14, 15, 18, 24, 26, 28, 33, 35, 36, 38, 45, 48, 51, 52, 54, 56, 58, 65, 69, 72, 74, 75, 76, 77, 86, 93, 95, 96, 98, 99, 104, 106, 108, 112, 116, 119, 122, 123, 135, 141, 142, 143, 144, 145, 148, 152, 153, 158, 161, 162, 172, 175, 177, 178, 185, 192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

These are the Heinz numbers of the integer partitions counted by A241638.

A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.

LINKS

Table of n, a(n) for n=1..59.

EXAMPLE

The sequence of terms together with their prime indices begins:

    1: {}

    6: {1,2}

   12: {1,1,2}

   14: {1,4}

   15: {2,3}

   18: {1,2,2}

   24: {1,1,1,2}

   26: {1,6}

   28: {1,1,4}

   33: {2,5}

   35: {3,4}

   36: {1,1,2,2}

   38: {1,8}

   45: {2,2,3}

   48: {1,1,1,1,2}

   51: {2,7}

   52: {1,1,6}

   54: {1,2,2,2}

   56: {1,1,1,4}

   58: {1,10}

MATHEMATICA

Select[Range[100], 0==Total[(-1)^PrimePi/@First/@If[#==1, {}, FactorInteger[#]]]&]

CROSSREFS

A324967(n) = A324966(n).

Cf. A001221, A026010, A028260, A045931, A063886, A097613, A112798, A130780, A239241, A241638, A325698, A325699.

Sequence in context: A143957 A318981 A105115 * A306999 A246048 A290648

Adjacent sequences:  A325697 A325698 A325699 * A325701 A325702 A325703

KEYWORD

nonn

AUTHOR

Gus Wiseman, May 17 2019

STATUS

approved

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Last modified April 18 14:58 EDT 2021. Contains 343089 sequences. (Running on oeis4.)