|
Search: id:A131132
|
|
|
| A131132 |
|
See Maple code for recurrence. |
|
+0
2
|
|
| 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)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
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
|
|
REFERENCES
|
H. Matsui et al., Problem B-1035, Fibonacci Quarterly, Vol. 45, Number 2; 2007; p. 182.
|
|
FORMULA
|
O.g.f.: x/((1-x^6)(1-x-x^2)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
|
|
MAPLE
|
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
|
|
CROSSREFS
|
Cf. A052952, A004695, A080239, A124502.
Sequence in context: A034416 A056366 A000046 this_sequence A004692 A094926 A078843
Adjacent sequences: A131129 A131130 A131131 this_sequence A131133 A131134 A131135
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), May 25 2008
|
|
EXTENSIONS
|
Typo in Maple code corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
|
|
|
Search completed in 0.002 seconds
|
