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Search: id:A072445
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A072445 Number of subsets S of the power set P{1,2,...,n} such that: {1}, {2},..., {n} are all elements of S; {1,2,...,n} is an element of S; if X and Y are elements of S and X and Y have a non-empty intersection, then the union of X and Y is an element of S. The sets S are counted modulo permutations on the elements 1,2,...,n. +0
4
1, 1, 4, 40, 3044, 26012090 (list; graph; listen)
OFFSET

1,3

LINKS

Wim van Dam, Sub Power Set Sequences

EXAMPLE

a(3)=4 because of the 4 sets: {{1}, {2}, {3}, {1, 2, 3}}; {{1}, {2}, {3}, {1, 2}, {1, 2, 3}}; {{1}, {2}, {3}, {1, 2}, {1, 3}, {1, 2, 3}}; {{1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}.

CROSSREFS

Cf. A072444, A072446, A072447.

Adjacent sequences: A072442 A072443 A072444 this_sequence A072446 A072447 A072448

Sequence in context: A111846 A102922 A139688 this_sequence A000841 A059918 A002677

KEYWORD

nonn

AUTHOR

Wim van Dam (vandam(AT)cs.berkeley.edu), Jun 18 2002

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Last modified November 7 16:45 EST 2009. Contains 166093 sequences.


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