T2(x) = -x - Revision history

Alec: Sequence of length 614.

2010-01-10T20:38:46Z

Sequence of length 614.

@@ Line 1: / Line 1: @@
-This sequence, of length <math>594</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>:
+This sequence, of length <math>614</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>:
 +--+-++--+--+-++-++--+-++--+--+-++
@@ Line 19: / Line 37: @@
   -++++-+-+--+--++---++++--++--+-++-+
-Here's one of length <math>584</math>, which held the record for about ten minutes:
+Here's one of length <math>584</math>, the record before that:
 +--+-++--++---++-+--+-++++-+--+-++---+-++--+

Gowers at 19:20, 10 January 2010

2010-01-10T19:20:14Z

← Older revision		Revision as of 12:20, 10 January 2010
Line 36:		Line 36:

	A more colourful display of this sequence can be found [http://thomas1111.wordpress.com/2010/01/10/a-sequence-of-584-elements-with-t2x-tx/ on this page].		A more colourful display of this sequence can be found [http://thomas1111.wordpress.com/2010/01/10/a-sequence-of-584-elements-with-t2x-tx/ on this page].

			This sequence has various multiplicative properties that are not implied by the basic constraint. Writing <math>a=\pm b</math> to mean that the beginning of the a-sequence closely resembles the beginning of the b-sequence, we have the following relationships: 2=5=17, 3=-15, 7=-9, 11=-13. In addition, the 3-sequence starts pretty similarly to the 13-sequence, and consequently the 11-sequence starts pretty similarly to the 15-sequence.

SuneJ: T2(x) = -T(x) moved to T2(x) = -x

2010-01-10T19:04:16Z

T2(x) = -T(x) moved to T2(x) = -x

← Older revision	Revision as of 12:04, 10 January 2010
(No difference)

Gowers at 18:24, 10 January 2010

2010-01-10T18:24:27Z

← Older revision		Revision as of 11:24, 10 January 2010
Line 34:		Line 34:
	++--+--+-+--++-++--++--++-+-++---+++--+--++-+		++--+--+-+--++-++--++--++-+-++---+++--+--++-+
	+---+++--+-+--+-+-++-+-+-++-+-+--+-+--+-++---		+---+++--+-+--+-+-++-+-+-++-+-+--+-+--+-++---

			A more colourful display of this sequence can be found [http://thomas1111.wordpress.com/2010/01/10/a-sequence-of-584-elements-with-t2x-tx/ on this page].

Alec at 17:38, 10 January 2010

2010-01-10T17:38:15Z

← Older revision		Revision as of 10:38, 10 January 2010
Line 1:		Line 1:
	This sequence, of length <math>~~584~~</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>:		This sequence, of length <math>594</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>:

			0+--+-++--+--+-++-++--+-++--+--+-++
			--+-++-+--++--+-++-++--+-++--+--+-+
			+-++--+--+-++--++++--+--+-++-++----
			+++-+--+-++--+--+-++-++--+-++-++--+
			-++--+--+-++--+-++-++--+--+-++-+-+-
			+--+++---+-++-++--+--+--+-++-+++-+-
			---+-+++-++-+---+--+-++-++--+++---+
			--+-+++-+--+-++-++--+-++--+--+-++-+
			+----++-++--+-++--+--+-++-++--++-+-
			++--+--+-++-++-+---+--+-++--++--++-
			-++-++---+-++-+-++-++--+-++--+--+-+
			+--+-++--+-++-++--+--+--+-+-++--++-
			+-+-++--++-+-+--+--+-++--++++-+---+
			-++-++--+-++--+--+++--+---++-+++--+
			+-+---++-+-+--++--+++---++-+-++--+-
			-+-++--++---++-++--+-+--+++-+-++---
			-++++-+-+--+--++---++++--++--+-++-+

			Here's one of length <math>584</math>, which held the record for about ten minutes:

	0+--+-++--++---++-+--+-++++-+--+-++---+-++--+		0+--+-++--++---++-+--+-++++-+--+-++---+-++--+

Alec: New page: This sequence, of length $584$ , satisfies $x_{2n} = -x_n$ for all $n$ : 0+--+-++--++---++-+--+-++++-+--+-++---+-++--+ +-+-+-+-++---+-++--++---++-+++---++...

2010-01-10T17:17:22Z

New page: This sequence, of length <math>584</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>: 0+--+-++--++---++-+--+-++++-+--+-++---+-++--+ +-+-+-+-++---+-++--++---++-+++---++...

New page

This sequence, of length <math>584</math>, satisfies <math>x_{2n} = -x_n</math> for all <math>n</math>:

0+--+-++--++---++-+--+-++++-+--+-++---+-++--+
+-+-+-+-++---+-++--++---++-+++---++-+--+++---
-++--+++-++---+--+-++++-+---+--+-++-++---++-+
++--+--+--+-+-++-+++----+++--+-++-+-+--+++-+-
+----++-+--+-+-+++-+-++-+-+---+-+--+++-+-+-+-
-++--+++-+---+++--++--+-++--+--+-+-++-+--++-+
-+--+++---+++---+++--++--++----+++-+---++-+-+
++--+---++-+--+++-+--++--++--+++--+-+--++--++
-++-+-+-+--+--++--+++--++---++---+-+++-++--+-
-++--++--+-+++--++--++-+--+-+-++---++-++---++
+----++-++-+-+-++--++-+-+--+-+--+-+--+-++-++-
++--+--+-+--++-++--++--++-+-++---+++--+--++-+
+---+++--+-+--+-+-++-+-+-++-+-+--+-+--+-++---