|
Search: id:A017898
|
|
|
| A017898 |
|
Expansion of (1-x)/(1-x-x^4). |
|
+0
16
|
|
| 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 7, 10, 14, 19, 26, 36, 50, 69, 95, 131, 181, 250, 345, 476, 657, 907, 1252, 1728, 2385, 3292, 4544, 6272, 8657, 11949, 16493, 22765, 31422, 43371, 59864, 82629, 114051
(list; graph; listen)
|
|
|
OFFSET
|
0,9
|
|
|
COMMENT
|
A Lam{\'e} sequence of higher order.
Essentially the same as A003269, which has much more information.
|
|
REFERENCES
|
J. Hermes, Anzahl der Zerlegungen einer ganzen rationalen Zahl in Summanden, Math. Ann., 45 (1894), 371-380.
|
|
FORMULA
|
a(n) = a(n-1)+a(n-4) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
|
|
MAPLE
|
f := proc(r) local t1, i; t1 := []; for i from 1 to r do t1 := [op(t1), 0]; od: for i from 1 to r+1 do t1 := [op(t1), 1]; od: for i from 2*r+2 to 50 do t1 := [op(t1), t1[i-1]+t1[i-1-r]]; od: t1; end; # set r = order
(Maple) a := n -> (Matrix(4, (i, j)-> if (i=j-1) then 1 elif j=1 then [1, 0$2, 1][i] else 0 fi)^n)[4, 4]; seq (a(n), n=0..42); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 04 2008]
|
|
CROSSREFS
|
For Lam{\'e} sequences of orders 1 through 9 see A000045, A000930, this one, A017899-A017904.
Sequence in context: A039857 A017836 A099559 this_sequence A003269 A087221 A107586
Adjacent sequences: A017895 A017896 A017897 this_sequence A017899 A017900 A017901
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
