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A072444 Number of subsets S of the power set P{1,2,...,n} such that: {1}, {2},..., {n} are all elements 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. 3
1, 2, 6, 47, 3095, 26015236 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Wim van Dam, Sub Power Set Sequences

EXAMPLE

a(3)=6 because of the 6 sets: {{1}, {2}, {3}}; {{1}, {2}, {3}, {1, 2}}; {{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. A072445, A072446, A072447.

Sequence in context: A001587 A078537 A145502 * A052596 A098710 A052614

Adjacent sequences:  A072441 A072442 A072443 * A072445 A072446 A072447

KEYWORD

nonn

AUTHOR

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

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Last modified February 12 15:43 EST 2012. Contains 205431 sequences.