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Search: id:A137385
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| A137385 |
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Number of errors that occur when choosing n as modulo in French INSEE code (0<n<100). |
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+0
1
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| 8190, 7600, 2184, 6810, 7246, 2024, 994, 5956, 182, 7128, 336, 1806, 448, 920, 1932, 5068, 375, 168, 330, 6578, 196, 312, 274, 1579, 6250, 414, 0, 821, 200, 1908, 244, 4246, 84, 342, 878, 154, 112, 301, 140, 5844, 134, 182, 122, 276, 168, 255, 111, 1347, 125, 6248, 92, 363, 104, 0, 294, 715, 85, 183, 75, 1758, 92, 223, 0, 3492, 392, 78, 70, 300, 64, 864, 110, 140, 63, 108, 1673, 262, 28, 130, 65, 5054, 0, 120, 63, 160, 323, 111, 51, 238, 57, 168, 28, 225, 77, 102, 286, 1132, 74, 120, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The most frequent errors are:
- permutation between 2 ranks
- error in one rank
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LINKS
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Author?, Les-mathematiques.net
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EXAMPLE
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Actual n is 97. It generates 74 errors.
Best choices could be 27, 54, 63, 81 or 99 instead of 97.
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PROGRAM
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(Python program. Replace leading dots by spaces)
for cle in range(1, 100):
... n=0
... for r1 in range(1, 14):
....... for r2 in range(r1, 14):
............ur1=cle-(10**(13-r1))%cle
............ur2=cle-(10**(13-r2))%cle
............for c1 in range(10):
............... for c2 in range(10):
................... if c1==c2:
........................dif=1
................... else:
........................dif=(c1*ur1-c2*ur2)%cle
................... if dif==0:
........................n=n+1
... print cle, ':', n
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CROSSREFS
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Adjacent sequences: A137382 A137383 A137384 this_sequence A137386 A137387 A137388
Sequence in context: A096329 A126823 A014885 this_sequence A108093 A051334 A145592
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KEYWORD
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fini,full,nonn
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AUTHOR
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Sebastien Dumortier (sdumortier(AT)ac-limoges.fr), Apr 26 2008
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