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A001830
Related to graded partially ordered sets.
(Formerly M4439 N1877)
5
1, 7, 61, 661, 8953, 152917, 3334921, 94354981, 3528929353, 177999003157, 12340001650921, 1194005625114661, 162936187792764073, 31536761103831315157, 8677703806537883683081, 3395880602480076153665701, 1889190751946097573211698313
OFFSET
0,2
COMMENTS
Corresponds to the numbers c(7,n) in the Klarner paper. - Sean A. Irvine, Sep 24 2015
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
D. A. Klarner, The number of graded partially ordered sets, J. Combin. Theory, 6 (1969), 12-19.
D. A. Klarner, The number of graded partially ordered sets, J. Combin. Theory, 6 (1969), 12-19. [Annotated scanned copy]
FORMULA
a(n) = Sum_{p+q+r+s+t+u+v=n} (n!/p!q!r!s!t!u!v!) 2^(pq+qr+rs+st+tu+uv) where (p,q,r,s,t,u,v) is any nonnegative composition of n. - Sean A. Irvine, Sep 24 2015
CROSSREFS
Column k=7 of A361950.
Sequence in context: A049402 A218498 A261687 * A213326 A261901 A368324
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Sep 24 2015
STATUS
approved