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Sequence Trails (Posted on 2009-05-14) Difficulty: 3 of 5

This myriad of numbers hides 7 pathways that each link a sequence of numbers.

aaa 1 2 3 4 5 6 7 8 9 10 11 12 13
a 55 92 34 28 225 55 12 256 45 89 70 361 144
b 55 169 47 89 196 233 53 225 66 144 256 233 289
c 34 67 21 61 66 16 8 45 35 53 51 225 47
d 53 276 13 59 21 253 15 13 231 169 28 196 2
e 324 256 35 361 225 89 22 256 13 289 253 324 233
f 128 22 35 64 71 32 253 28 210 15 64 351 325
g 210 16 35 15 21 22 231 92 55 35 70 92 43
h 47 12 43 2 2 4 4 45 4 28 45 51 70
i 324 289 8 92 253 12 59 324 22 8 231 35 4
j 61 59 16 61 67 233 71 153 120 22 210 117 12
k 289 53 47 128 256 300 53 276 21 253 34 276 300
l 351 8 325 91 4 300 8 66 91 233 66 276 325
m 361 59 51 70 61 64 59 210 35 231 61 253 67

Each sequence is exactly a consecutive series of 7 numerals in length. The numerals are connected orthogonally, and usually in a perpendicular direction. The path connecting numerals within a sequence may not be intersected or crossed by itself or any other path, and numerals are unique to a particular sequence.

The sequences are:
Prime, Triangle, Square, Pentagonal, Hexagonal, Fibonnacci and Powers of 2, and obviously, do not expect every sequence to begin with its first term.

Hints:
1. Use your "prt sc" function to make a print-out of the page.
2. Determine the range of each sequence within the numeric range of the table.
3. Be aware that some full length sequences exist but would impinge on others.

Note: the three numbers bold and underlined are not part of a solution sequence but demonstrate how a Power of 2 trail might begin.

See The Solution Submitted by brianjn    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: computer visualization aidbrianjn2009-05-15 10:53:58
re: (At least) 3 solutionsbrianjn2009-05-15 10:34:31
Solution(At least) 3 solutionsDej Mar2009-05-14 21:09:48
Hints/Tipscomputer visualization aidCharlie2009-05-14 15:50:32
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