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Search: id:A129929
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| A129929 |
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Binomial transform of the periodic sequence with periodic pattern 1,1,1,0,0. |
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+0
2
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| 1, 2, 4, 7, 11, 17, 29, 58, 129, 292, 639, 1333, 2666, 5188, 9999, 19388, 38166, 76332, 154261, 312703, 632171, 1271107, 2542214, 5066717, 10087066, 20099107, 40123189, 80246378, 160689174, 321892577, 644617194, 1290066428, 2580132856
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=5a(n-1)-10a(n-2)+10a(n-3)-5a(n-4)+2a(n-5). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
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EXAMPLE
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The sequence and 1st, 2nd, etc. difference are
1..2..4..7..11..17..29...58..129..292..639.1333..2666
..1..2..3..4...6..12..29...71......
....1..1..1..2...6...17.42......
......0..0..1..4...11..25.....
........0..1..3...7..14.....
..........1..2..4...7.........<= original series 5 rows above reappears
.......... the leading edge of the difference triangle is 5-periodic 1,1,1,0,0.
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MAPLE
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A129929 := proc(n) option remember ; if n <= 4 then op(n+1, [1, 2, 4, 7, 11]) ; else 5*A129929(n-1)-10*A129929(n-2)+10*A129929(n-3)-5*A129929(n-4)+2*A129929(n-5) ; fi ; end: seq(A129929(n), n=0..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
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CROSSREFS
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Adjacent sequences: A129926 A129927 A129928 this_sequence A129930 A129931 A129932
Sequence in context: A023428 A093911 A023427 this_sequence A073738 A137631 A003403
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jun 06 2007, Jun 20 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
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