[seqfan] (no subject)
lajos66 at t-online.hu
lajos66 at t-online.hu
Sun Jun 21 23:04:11 CEST 2009
Joerg!
This is comment, new.
Analog: Rencontres numbers, derangements numbers
definitions.....
All:
A000079 Powers of 2 vvv, vvz, vzv, vzz, zvv, zvz, zzv, zero
(0) or free u's. (uuu) >>three u'-s
A000244 Powers of 3
A000302 Powers of 4
A000351 Powers of 5
A000400 Powers of 6
A000420 Powers of 7
A001018 Powers of 8
A001019 Powers of 9
A011557Powers of 10
etc...
all:..........containing exactly zero (0) or free
u's..............
bad or wrong: zero (0) and free u's. this is .
good : zero or (0) or free u's, or without or nullity or
null or nil u's, etc...
This is simple:six (6) u's
A002409 2^n*C(n+6,6). Number of 6D
hypercubes in an (n+6)-dimensional hypercube.>>>>With a
different offset, number of n-permutations (n>=6) of 3
objects: u, v, z with repetition allowed, containing exactly
six (6) u's.
Analogia:fixed point free= 0, zero fixed point. ( fixed
point free element (derangement))
Sorry, i dont speak english.
All searchingOEIS: "With a different offset, number of
n-permutations"
Displaying 1-10 of 83 results found.
a(3)=8 because we have vvv, vvz, vzv, vzz, zvv, zvz, zzv,
zzz >> without u'-s.
a(4)=16 because we have
vvvv vvvz vvzv vzvv zvvv vvzz vzvz zvvz vzzv zzvv
zvzv zzzv zzvv zvzz vzzz zzzz (16 without (0), zero, ...
u'-s.)
etc...
sincerely
Zerinvary Lajos
Hungary
--- On Sun, 6/21/09, Joerg Arndt <arndt at jjj.de> wrote:
From: Joerg Arndt <arndt at jjj.de>
Subject: Q regarding comment in A000079 (Powers of 2)
To: seqfan at list.seqfan.eu
Cc: zerinvarylajos at yahoo.com
Date: Sunday, June 21, 2009, 5:10 AM
This comment needs corrections and clarifications:
With a different offset, number of n-permutations (n>=0)
of 3 objects:
u, v, z with repetition allowed, containing exactly zero
(0) or free
u's. For example, a(3)=8 because we have vvv, vvz, vzv,
vzz, zvv, zvz,
zzv, zzz.
- Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2008
Firstly, "With a different offset" seems wrong,
a(3)==8 in the example and indeed a(3)==8 in the seq.
Also: "containing exactly zero (0) or free"
free --> three?
Examples for n==4 or n==5 may be instructive.
From what I see the comment seems to be just wrong.
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