User:Newfraferz87/Sandbox

Out-of-system BSicon names and redirects

x e ex u ux ue uex
Single crossing parallel
vKRZq vKRZq xvKRZq evKRZq exvKRZq uvKRZq uxvKRZq uevKRZq uexvKRZq Crossing at grade
vKRZtq vKRZtq xvKRZtq evKRZtq exvKRZtq uvKRZtq uxvKRZtq uevKRZtq uexvKRZtq Crossing tunnel through
tvKRZq tvKRZq xtvKRZq etvKRZq extvKRZq utvKRZq uxtvKRZq uetvKRZq uextvKRZq Crossing tunnel across
tvKRZtq tvKRZtq xtvKRZtq etvKRZtq extvKRZtq utvKRZtq uxtvKRZtq uetvKRZtq uextvKRZtq Crossing both in tunnel
tKRZtv tKRZtv xtKRZtv etKRZtv extKRZtv utKRZtv uxtKRZtv uetKRZtv uextKRZtv Crossing horizontal in tunnel
x e ex u ux ue uex

Wuxia timeline

See subpage here.

A very strange number table

The following is a table that I've "discovered".

  • For any number sequence a of position k, where a is a non-negative integer and k is a natural number:
    • For a=0, ak=0;
    • For a>0, a1=1;
    • (a+1)(k+1) = ak + (a+1)k.

This generates a series of number sequences. The first sequences are the familiar list of natural numbers, Lazy caterer's sequence (bearing a similar resemblance to Triangle numbers) and cake numbers. As any non-first number in a sequence is the sum of the number before it in the same sequence and the number in the same order as the latter in a previous sequence, there will be more numbers being powers of two as the sequence number gets bigger. The "final" sequence ends up with all the powers of two.

What's more interesting is that, for every k where k=2a, a value of 22a-2 (or 4a-1) is returned.

So, I will be really grateful if any kind passerby can tell me the name of this table (if there already is one), or (if possible) the general formula of any particular sequence from the table, such that I can do further research on it.

A very strange number table
Sequence no.(a) Order no. (k)
1 2 3 4 5 6 7 8 9 10 x
0 0 0 0 0 0 0 0 0 0 0 x=0
1 1 1 1 1 1 1 1 1 1 1 x=1
2 (Natural) 1 2 3 4 5 6 7 8 9 10 x=k
3 (Lazy) 1 2 4 7 11 16 22 29 37 46 x=(k(k-1))/2+1
4 (Cake) 1 2 4 8 15 26 42 64 93 130 x=? [1]
5 1 2 4 8 16 31 57 99 163 256 x=? [2]
6 1 2 4 8 16 32 63 120 219 382 x=?
7 1 2 4 8 16 32 64 127 247 466 x=?
...
1 2 4 8 16 32 64 128 256 512 x=2k-1


Other

BJS colour test
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16


SHM colour test
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
17 18 19 20


GZM colour test
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16



SHM Lines

Line Terminals Opened Newest
Extension
Length
(km)
Stations Trains used Interchange
1 Fujin Road Xinzhuang 1995 2007 36.4 28 8 A 2, 3, 4, 5, 7, 8, 9, 10
2 Xujing East Pudong International Airport 1999 2010 63.8 30 8 A / 4 A 1, 3, 4, 6, 7, 8, 9, 10, 11, Maglev
3 North Jiangyang Road Shanghai South Railway Station 2000 2006 40.3 29 6 A 1, 2, 4, 7, 8, 9, 10, 11
4 Loop line beginning at Yishan Road 2005 2007 33.7 26 6 A 1, 2, 3, 6, 7, 8, 9, 10, 11
5 Xinzhuang Minhang Development Zone 2003 - 17.2 11 4 C 1
6 Gangcheng Road South Lingyan Road 2007 - 31.1 27 4 C 2, 4, 7, 8, 9
7 Shanghai University Huamu Road 2009 - 34.4 27 6 A 1, 2, 3, 4, 6, 8, 9, Maglev
8 Shiguang Road Aerospace Museum 2007 2009 37.4 28 7 C 1, 2, 3, 4, 6, 7, 9, 10
9 Songjiang Xincheng Middle Yanggao Road 2007 2010 45.2 23 6 A 1, 2, 3, 4, 6, 7, 8, 13
10 New Jiangwan Town Hangzhong Road 2010 - 29.6 27 6 A 1, 2, 3, 4, 8
11 Jiading North/Anting Jiangsu Road 2009 2010 45.8 19 6 A 2, 3, 4
12 Qixin Road Jinsui Road 2012
13 Madang Road Shibo Avenue 2010 - 4.0 3 6 A? 9
14 Jiangqiao Jinqiao c. 2013
16 Longyang Road Lingang Xincheng c. 2013
M Longyang Road Pudong International Airport 2002 - 33.0 2 Maglev 2, 7
Total:   428.7
269



To dos:

Demi-Gods and Semi-Devils: character development with some information from here

The Races

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