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A325511 Numbers whose prime signature is that of a factorial number. 2
1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 29, 31, 33, 34, 35, 37, 38, 39, 40, 41, 43, 46, 47, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 65, 67, 69, 71, 73, 74, 77, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 103, 104, 106 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A181819(a(n)) belongs to A325508.

LINKS

Table of n, a(n) for n=1..65.

EXAMPLE

The sequence of terms together with their prime indices begins:

   1: {}

   2: {1}

   3: {2}

   5: {3}

   6: {1,2}

   7: {4}

  10: {1,3}

  11: {5}

  13: {6}

  14: {1,4}

  15: {2,3}

  17: {7}

  19: {8}

  21: {2,4}

  22: {1,5}

  23: {9}

  24: {1,1,1,2}

  26: {1,6}

  29: {10}

  31: {11}

MATHEMATICA

Select[Range[30], MemberQ[Table[Sort[Last/@FactorInteger[k!]], {k, #}], Sort[Last/@FactorInteger[#]]]&]

CROSSREFS

Cf. A000142, A011371, A022559, A076934, A115627, A181819, A325272, A325276, A325508, A325509, A325510.

Sequence in context: A064052 A248792 A064594 * A240370 A193304 A076144

Adjacent sequences:  A325508 A325509 A325510 * A325512 A325513 A325514

KEYWORD

nonn

AUTHOR

Gus Wiseman, May 08 2019

STATUS

approved

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Last modified December 15 15:01 EST 2019. Contains 329999 sequences. (Running on oeis4.)