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Search: id:A084348
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| A084348 |
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Triangle in which row n gives periodic part of a certain map. |
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+0
3
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| 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 5, 4, 5, 2, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 0, 1, 6, 5, 4, 1, 2, 5, 7, 2, 2, 4, 2, 8, 1, 2, 5, 6, 5, 6, 7, 0, 1, 0, 1, 2, 5, 5, 10, 7, 10, 5, 8, 7, 5, 1, 2, 5, 4, 5, 2, 1, 8, 5, 10, 5, 8, 1, 2, 5, 3, 0, 1, 7, 11, 11, 9, 0, 1, 0, 1, 2, 5, 2, 9, 4, 11, 8, 9, 12, 9, 2
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Let r(k,n)=floor(e*k!)-n*floor(e*k!/n) then for any n integer>0, sequence r(k,n) is n-periodic. Sequence gives periods of r(k,n) for fixed n.
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EXAMPLE
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If n=7, r(k,7) is sequence 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5...... 7-periodic with period: (2, 5, 2, 2, 4, 4, 1,)
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CROSSREFS
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Cf. A084351.
Sequence in context: A089077 A130071 A038540 this_sequence A085906 A090406 A152723
Adjacent sequences: A084345 A084346 A084347 this_sequence A084349 A084350 A084351
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KEYWORD
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nonn,tabl
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 22 2003
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