The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A333797 Total number of saturated chains in the lattices L_n(2) of subspaces (ordered by inclusion) of the vector space GF(2)^n. 1
 1, 3, 14, 114, 1777, 55461, 3496868, 444131448, 113253936439, 57872769803787, 59203843739029706, 121190268142727296926, 496274148044956457612893, 4064981546636275903297015089, 66596592678542112197488335080432, 2182170552297789390998576752287351492 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS These are the chains counted in A293844 that are saturated.  A chain C in poset P is saturated if there is no z in P - C such that x < z < y for some x,y in C and such that C union {z} is a chain. LINKS FORMULA a(n)/A005329(n) is the coefficient of x^n in eq(x)^2/(1 - x) where eq(x) is the q-exponential function. a(n) ~ A299998 * 2^(n*(n+1)/2). - Vaclav Kotesovec, Apr 07 2020 MATHEMATICA nn = 15; eq[z_] :=Sum[z^n/FunctionExpand[QFactorial[n, q]], {n, 0, nn}]; Table[FunctionExpand[QFactorial[n, q]] /. q -> 2, {n, 0, nn}] CoefficientList[Series[eq[z]^2/(1 - z) /. q -> 2, {z, 0, nn}], z] CROSSREFS Cf. A289545, A293844. Sequence in context: A085244 A265001 A279429 * A229113 A180435 A256159 Adjacent sequences:  A333794 A333795 A333796 * A333798 A333799 A333800 KEYWORD nonn AUTHOR Geoffrey Critzer, Apr 05 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)