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A172984
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Sequence congruent to the Fibonacci sequence modulo 5, with 1 added to the last term. Seen on "Mathnet"
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0
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1, 1, 2, 3, 5, 3, 3, 1, 4, 5, 4, 4, 3, 2, 5, 2, 2, 4, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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This sequence was used as a puzzle in the "Mathnet" portion of the children's mathematics television show Square One TV. In the series "Case of the Willing Parrot" (Episodes 201-205), the sequence was found on a tile wall. The mystery was solved by the discovery of the sequence and a key behind the final term.
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REFERENCES
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Schneider, Joel, et al., Square One TV: Season Two Content Analysis and Show Rundowns. 21 Jul 1988, Children's Television Workshop; New York.
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LINKS
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Table of n, a(n) for n=0..18.
Children's Television Workshop, Mathnet - Case of the Willing Parrot (Recap & Finale) Pt.2
Schneider, Joel, et al, Mathnet Guide
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FORMULA
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F(n) = (F(n-1) + F(n-2)) mod 5 for n=/= 18, F(19)=(F(n-1) + F(n-2)+1) mod 5 , F(0) = 0, F(1) = 1, F(2) = 1
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CROSSREFS
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A000045
Sequence in context: A202694 A123221 A197032 * A072751 A131971 A100742
Adjacent sequences: A172981 A172982 A172983 * A172985 A172986 A172987
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KEYWORD
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fini,full,nonn
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AUTHOR
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Jon Suen (jsuen(AT)ece.ucsb.edu), Feb 06 2010
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STATUS
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approved
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