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Search: id:A131132
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| A131132 |
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See Maple code for recurrence. |
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+0
2
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| 1, 1, 2, 3, 5, 8, 14, 22, 36, 58, 94, 152, 247, 399, 646, 1045, 1691, 2736, 4428, 7164, 11592, 18756, 30348, 49104, 79453, 128557, 208010, 336567, 544577, 881144, 1425722, 2306866, 3732588, 6039454, 9772042, 15811496, 25583539, 41395035, 66978574, 108373609
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Also: convolution of A000045 with the period-6 sequence (0,0,0,0,0,0,1,...). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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REFERENCES
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H. Matsui et al., Problem B-1035, Fibonacci Quarterly, Vol. 45, Number 2; 2007; p. 182.
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FORMULA
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O.g.f.: x/((1-x^6)(1-x-x^2)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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MAPLE
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f:=proc(n) option remember; local t1; if n <= 2 then RETURN(1); fi: if n mod 6 = 1 then t1:=1 else t1:=0; fi: f(n-1)+f(n-2)+t1; end; [seq(f(n), n=1..100)]; - N. J. A. Sloane (njas(AT)research.att.com), May 25 2008
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CROSSREFS
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Cf. A052952, A004695, A080239, A124502.
Adjacent sequences: A131129 A131130 A131131 this_sequence A131133 A131134 A131135
Sequence in context: A034416 A056366 A000046 this_sequence A004692 A094926 A078843
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 25 2008
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EXTENSIONS
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Typo in Maple code corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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