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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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2
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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
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OFFSET
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1,4
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COMMENTS
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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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LINKS
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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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KEYWORD
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AUTHOR
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STATUS
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approved
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