The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A209862 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A209862

Permutation of nonnegative integers which maps A209642 into ascending order (A209641).
(history; published version)

#26 by Susanna Cuyler at Wed Sep 15 09:51:45 EDT 2021

STATUS

reviewed

approved

#25 by Susanna Cuyler at Wed Sep 15 09:51:40 EDT 2021

STATUS

proposed

reviewed

#24 by Gus Wiseman at Sun Sep 12 15:58:02 EDT 2021

STATUS

editing

proposed

#23 by Gus Wiseman at Sun Sep 05 06:06:14 EDT 2021

COMMENTS

Mathematica: Table[Total[2^(Append[#,n]-1)]&/@Subsets[Range[n-1]],{n,5}]

Discussion

Sun Sep 12

09:17

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#22 by Gus Wiseman at Sun Sep 05 06:03:34 EDT 2021

COMMENTS

Row lengths are A000079 (shifted right). Also Column k = 1.

Row sums are A010036.

Using reverse-lexicographic order gives A059893.

Using lexicographic order gives A059894.

Taking binary indices to prime indices gives A339195 (or A019565).

The ordering of sets is A344084.

A version using Heinz numbers is A344085.

CROSSREFS

Row lengths are A000079 (shifted right). Also Column k = 1.

Row sums are A010036.

Using reverse-lexicographic order gives A059893.

Using lexicographic order gives A059894.

Taking binary indices to prime indices gives A339195 (or A019565).

The ordering of sets is A344084.

A version using Heinz numbers is A344085.

Cf. A010036, A026793, A048793, A111059, A147655, A246688, A246867, A261144, A272020, A294648, A339360.

#21 by Gus Wiseman at Sun Sep 05 05:58:12 EDT 2021

COMMENTS

The following is a Mathematica program for this triangle.

Table[Total[2^(Append[#,n]-1)]&/@Subsets[Range[n-1]],{n,5}]

#20 by Gus Wiseman at Sun Sep 05 05:49:04 EDT 2021

COMMENTS

The following is a Mathematica program for this triangle.

Table[Total[2^(Append[#,n]-1)]&/@Subsets[Range[n-1]],{n,5}]

MATHEMATICA

Table[Total[2^(Append[#, n]-1)]&/@Subsets[Range[n-1]], {n, 5}] (* Gus Wiseman, Aug 24 2021 *)

#19 by Gus Wiseman at Sun Sep 05 05:45:13 EDT 2021

CROSSREFS

A329631 lists prime indices of squarefree numbers, reverse A319247.

Cf. A026793, A048793, `A072047, `A111059, `A147655, `A246688, A246867, A261144, A272020, A294648, A339360.

#18 by Gus Wiseman at Sun Sep 05 05:40:51 EDT 2021

CROSSREFS

Row lengths are A000079 (shifted right). Also Column k = 1.

Column k = 1 is A000079 (shifted right).

A246867 groups squarefree numbers by Heinz weight, row sums A147655.

Cf. `A014466, A026793, A048793, `A054640, A072047, `A111059, `A147655, `A246688, A246867, A261144, A272020, A294648, A339360.

#17 by Gus Wiseman at Sun Sep 05 05:29:22 EDT 2021

CROSSREFS

An unordered A version using Heinz numbers is A344085.