Template:Sierpiński's triangle (Pascal's triangle mod 2)

Sierpiński’s triangle (Pascal’s triangle mod 2)

n		[row (n)]2  =  [     n ∑   i  = 0    (( n i ) mod 2) 2 i  ]2  =  [     ⌊  log2 n ⌋ ∏   i  = 0    Fi  (  ⌊  n  / 2 i⌋ mod 2)]2  =  [     ⌊  log2 n ⌋ ∏   i  = 0    (2 2 i + 1) (  ⌊  n  / 2 i⌋ mod 2)]2 A006943 Rows of Sierpiński’s triangle (Pascal’s triangle mod 2). A047999 Concatenated rows of Sierpiński’s triangle (Pascal’s triangle mod 2).																																																																[row (n)]10 (A001317)
0																																			1																																			1
1																																		1		1																																		3
2																																	1		0		1																																	5
3																																1		1		1		1																																15
4																															1		0		0		0		1																															17
5																														1		1		0		0		1		1																														51
6																													1		0		1		0		1		0		1																													85
7																												1		1		1		1		1		1		1		1																												255
8																											1		0		0		0		0		0		0		0		1																											257
9																										1		1		0		0		0		0		0		0		1		1																										771
10																									1		0		1		0		0		0		0		0		1		0		1																									1285
11																								1		1		1		1		0		0		0		0		1		1		1		1																								3855
12																							1		0		0		0		1		0		0		0		1		0		0		0		1																							4369
13																						1		1		0		0		1		1		0		0		1		1		0		0		1		1																						13107
14																					1		0		1		0		1		0		1		0		1		0		1		0		1		0		1																					21845
15																				1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1																				65535
16																			1		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		1																			65537
17																		1		1		0		0		0		0		0		0		0		0		0		0		0		0		0		0		1		1																		196611
18																	1		0		1		0		0		0		0		0		0		0		0		0		0		0		0		0		1		0		1																	327685
19																1		1		1		1		0		0		0		0		0		0		0		0		0		0		0		0		1		1		1		1																983055
20															1		0		0		0		1		0		0		0		0		0		0		0		0		0		0		0		1		0		0		0		1															1114129
21														1		1		0		0		1		1		0		0		0		0		0		0		0		0		0		0		1		1		0		0		1		1														3342387
22													1		0		1		0		1		0		1		0		0		0		0		0		0		0		0		0		1		0		1		0		1		0		1													5570645
23												1		1		1		1		1		1		1		1		0		0		0		0		0		0		0		0		1		1		1		1		1		1		1		1												16711935
24											1		0		0		0		0		0		0		0		1		0		0		0		0		0		0		0		1		0		0		0		0		0		0		0		1											16843009
25										1		1		0		0		0		0		0		0		1		1		0		0		0		0		0		0		1		1		0		0		0		0		0		0		1		1										50529027
26									1		0		1		0		0		0		0		0		1		0		1		0		0		0		0		0		1		0		1		0		0		0		0		0		1		0		1									84215045
27								1		1		1		1		0		0		0		0		1		1		1		1		0		0		0		0		1		1		1		1		0		0		0		0		1		1		1		1								252645135
28							1		0		0		0		1		0		0		0		1		0		0		0		1		0		0		0		1		0		0		0		1		0		0		0		1		0		0		0		1							286331153
29						1		1		0		0		1		1		0		0		1		1		0		0		1		1		0		0		1		1		0		0		1		1		0		0		1		1		0		0		1		1						858993459
30					1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1		0		1					1431655765
31				1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1		1				4294967295
32			1		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		1			4294967297
			i  = 0		1		2		3		4		5		6		7		8		9		10		11		12		13		14		15		16		17		18		19		20		21		22		23		24		25		26		27		28		29		30		31		32