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Search: id:A152721
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| A152721 |
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A prime based vector recursion: a(n)={Prime[n+1],Prime[n],Prime[n-1],-Prime[n-2],...,-1,-1}. |
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+0
1
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| -1, 1, -1, 5, -1, -1, 7, -5, -1, -1, 11, -7, -5, -1, -1, 13, -11, -7, -5, -1, -1, 17, -13, -11, -7, -5, -1, -1, 19, -17, -13, -11, -7, -5, -1, -1, 23, -19, -17, -13, -11, -7, -5, -1, -1, 29, -23, -19, -17, -13, -11, -7, -5, -1, -1, 31, -29, -23, -19, -17, -13, -11, -7, -5
(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, 3, 0, -3, -12, -21, -36, -51, -68, -95,...}
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FORMULA
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a(n)={Prime[n+1],Prime[n],Prime[n-1],-Prime[n-2],...,-1,-1}.
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EXAMPLE
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{-1},
{1, -1},
{5, -1, -1},
{7, -5, -1, -1},
{11, -7, -5, -1, -1},
{13, -11, -7, -5, -1, -1},
{17, -13, -11, -7, -5, -1, -1},
{19, -17, -13, -11, -7, -5, -1, -1},
{23, -19, -17, -13, -11, -7, -5, -1, -1},
{29, -23, -19, -17, -13, -11, -7, -5, -1, -1},
{31, -29, -23, -19, -17, -13, -11, -7, -5, -1, -1}
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MATHEMATICA
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b[0] = {-1}; b[1] = {1, -1};
b[n_] := b[n] = Join[{Prime[n + 1 ]}, {-b[n - 1][[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: A050178 A111720 A029646 this_sequence A132737 A137754 A131404
Adjacent sequences: A152718 A152719 A152720 this_sequence A152722 A152723 A152724
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KEYWORD
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sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 11 2008
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