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Search: id:A117549
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| A117549 |
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Values of n for which there exist d(1),...,d(n), each in {0,1,...,4} and an r in {1,...,4} such that Sum[d(i)d(i+k),i=1,n-k]=r (mod 5) for all k=0,...,n-1. (Such a sequence is called a very(5,r) sequence. See the link.). |
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2
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OFFSET
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1,2
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COMMENT
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Conjecture. Let A be a very(5,1) (respectively very(5,4)) sequence of length n and let Z be a sequence of n-1 0's.. Then AZ(3A)ZA is a very(5,1) (respectively very(5,4)) sequence of length 5n-2. (Here 3A denotes the result of multiplying each term of A by 3, then reducing modulo 5; and juxtaposition of symbols denotes concatenation of sequences.)
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LINKS
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John W. Layman, On A Generalization of Very Odd Sequences
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CROSSREFS
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Cf. A053006, A117548, A117550, A117551.
Sequence in context: A167219 A028357 A099822 this_sequence A028433 A080667 A001952
Adjacent sequences: A117546 A117547 A117548 this_sequence A117550 A117551 A117552
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Apr 21 2006
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