OEIS/Attaching segments: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
===Column 5=== | ===Column 5 (contracting)=== | ||
attach to: 3,7,11,15,19 ... => 3 mod 4 | attach to: 3,7,11,15,19 ... => 3 mod 4 | ||
left side: 1,2,3,4,5,6 ... => 1 mod 1 | left side: 1,2,3,4,5,6 ... => 1 mod 1 | ||
remaining: 0,1,2 mod 4 | remaining: 0,1,2 mod 4 | ||
===Column 6=== | ===Column 6 (contracting)=== | ||
attach to: 1,5,9,13,17 ... => 1 mod 4 | attach to: 1,5,9,13,17 ... => 1 mod 4 | ||
left side: 1,4,7,10,13 1 mod 3 | left side: 1,4,7,10,13 1 mod 3 | ||
remaining: 0,2 mod 4 | remaining: 0,2 mod 4 | ||
double steps: | double steps: | ||
if 3 mod 4 = 1 mod 3: 7,19,31 => 7 mod 12 | if (5) 3 mod 4 = LS(6) 1 mod 3: 7,19,31 => 7 mod 12 | ||
if 1 mod 4 = 1 mod 3: 1,13,25 => 1 mod 12 | if (6) 1 mod 4 = LS(6) 1 mod 3: 1,13,25 => 1 mod 12 | ||
===Column 9=== | ===Column 9 (contracting)=== | ||
attach to: 2,10,18,26,34 => 2 mod 8 | attach to: 2,10,18,26,34 => 2 mod 8 | ||
left side: 1,4,7,10,13 1 mod 3 | left side: 1,4,7,10,13 1 mod 3 | ||
remaining: 0,4,6 mod 8 | remaining: 0,4,6 mod 8 | ||
double steps: | double steps: | ||
if 2 mod 8 = 1 mod 3: 10,34,58 => 10 mod 24 | if (9) 2 mod 8 = LS(6) 1 mod 3: 10,34,58 => 10 mod 24 | ||
===Column 10=== | ===Column 10 (expanding)=== | ||
attach to: 6,14,22 => 6 mod 8 | attach to: 6,14,22 => 6 mod 8 | ||
left side: 7,16,25 7 mod 9 | left side: 7,16,25 7 mod 9 | ||
remaining: 0,4 mod 8 | remaining: 0,4 mod 8 | ||
double steps: | double steps: | ||
if 6 mod 8 = 1 mod 3: 22,46,70 => 22 mod 24 | if (10) 6 mod 8 = LS(6) 1 mod 3: 22,46,70 => 22 mod 24 | ||
if (6) 1 mod 4 = LS(10) 7 mod 9: 25,61,97 => 25 mod 36 | |||
if (5) 3 mod 4 = LS(10) 7 mod 9: 7,43,79 => 7 mod 36 | |||
triple steps: | |||
if 1 mod 12 = 25 mod 36 => 25 mod 36 | |||
if 7 mod 12 = 7 mod 36 => 7 mod 36 | |||
===Column 13 (contracting)=== | |||
attach to: 12,28,44 => 12 mod 16 | |||
left side: 7,16,25 7 mod 9 | |||
remaining: 0,4,8 mod 16 | |||
double steps: | |||
if 12 mod 16 = 1 mod 3: 28,76 => 28 mod 48 | |||
if 12 mod 16 = 1 mod 3: 28,76 => 28 mod 48 | |||
if 1 mod 4 = 7 mod 9: 25,61,97 => 25 mod 36 | if 1 mod 4 = 7 mod 9: 25,61,97 => 25 mod 36 | ||
if 3 mod 4 = 7 mod 9: 7,43,79 => 7 mod 36 | if 3 mod 4 = 7 mod 9: 7,43,79 => 7 mod 36 | ||
Latest revision as of 08:50, 2 August 2023
Column 5 (contracting)
attach to: 3,7,11,15,19 ... => 3 mod 4 left side: 1,2,3,4,5,6 ... => 1 mod 1 remaining: 0,1,2 mod 4
Column 6 (contracting)
attach to: 1,5,9,13,17 ... => 1 mod 4 left side: 1,4,7,10,13 1 mod 3 remaining: 0,2 mod 4 double steps: if (5) 3 mod 4 = LS(6) 1 mod 3: 7,19,31 => 7 mod 12 if (6) 1 mod 4 = LS(6) 1 mod 3: 1,13,25 => 1 mod 12
Column 9 (contracting)
attach to: 2,10,18,26,34 => 2 mod 8 left side: 1,4,7,10,13 1 mod 3 remaining: 0,4,6 mod 8 double steps: if (9) 2 mod 8 = LS(6) 1 mod 3: 10,34,58 => 10 mod 24
Column 10 (expanding)
attach to: 6,14,22 => 6 mod 8 left side: 7,16,25 7 mod 9 remaining: 0,4 mod 8 double steps: if (10) 6 mod 8 = LS(6) 1 mod 3: 22,46,70 => 22 mod 24 if (6) 1 mod 4 = LS(10) 7 mod 9: 25,61,97 => 25 mod 36 if (5) 3 mod 4 = LS(10) 7 mod 9: 7,43,79 => 7 mod 36 triple steps: if 1 mod 12 = 25 mod 36 => 25 mod 36 if 7 mod 12 = 7 mod 36 => 7 mod 36
Column 13 (contracting)
attach to: 12,28,44 => 12 mod 16 left side: 7,16,25 7 mod 9 remaining: 0,4,8 mod 16 double steps: if 12 mod 16 = 1 mod 3: 28,76 => 28 mod 48 if 12 mod 16 = 1 mod 3: 28,76 => 28 mod 48 if 1 mod 4 = 7 mod 9: 25,61,97 => 25 mod 36 if 3 mod 4 = 7 mod 9: 7,43,79 => 7 mod 36 triple steps: if 1 mod 12 = 25 mod 36 => 25 mod 36 if 7 mod 12 = 7 mod 36 => 7 mod 36