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Search: id:A152722
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| A152722 |
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A prime based vector recursion: a(n)={Prime[n+2],-Prime[n+2]+1,...,-1,-1}. |
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1
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| -1, 1, -1, 7, -6, -1, 11, -10, -6, -1, 13, -12, -10, -6, -1, 17, -16, -12, -10, -6, -1, 19, -18, -16, -12, -10, -6, -1, 23, -22, -18, -16, -12, -10, -6, -1, 29, -28, -22, -18, -16, -12, -10, -6, -1, 31, -30, -28, -22, -18, -16, -12, -10, -6, -1, 37, -36, -30, -28, -22
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums are:
{-1, 0, 0, -6, -16, -28, -44, -62, -84, -112, -142,...}
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FORMULA
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a(n)={Prime[n+2],-Prime[n+2]+1,...,-1,-1}.
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EXAMPLE
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{-1},
{1, -1},
{7, -6, -1},
{11, -10, -6, -1},
{13, -12, -10, -6, -1},
{17, -16, -12, -10, -6, -1},
{19, -18, -16, -12, -10, -6, -1},
{23, -22, -18, -16, -12, -10, -6, -1},
{29, -28, -22, -18, -16, -12, -10, -6, -1},
{31, -30, -28, -22, -18, -16, -12, -10, -6, -1},
{37, -36, -30, -28, -22, -18, -16, -12, -10, -6, -1}
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MATHEMATICA
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b[0] = {-1}; b[1] = {1, -1};
b[n_] := b[n] = Join[{Prime[n + 2 ]}, {-Prime[n + 2] + 1}, Table[b[n - 1][[i]], {i, 2, Length[b[n - 1]]}]];
Table[b[n], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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A152568, A027293
Sequence in context: A112252 A118321 A152755 this_sequence A100082 A152861 A138096
Adjacent sequences: A152719 A152720 A152721 this_sequence A152723 A152724 A152725
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KEYWORD
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sign
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AUTHOR
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Roger L. Bagula and Alexander R. Povolotsky (rlbagulatftn(AT)yahoo.com), Dec 11 2008
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