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A017898 Expansion of (1-x)/(1-x-x^4). +0
10
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

CROSSREFS

For Lam{\'e} sequences of orders 1 through 9 see A000045, A000930, this one, A017899-A017904.

Sequence in context: A087830 A039857 A017836 this_sequence A003269 A087221 A107586

Adjacent sequences: A017895 A017896 A017897 this_sequence A017899 A017900 A017901

KEYWORD

nonn

AUTHOR

njas

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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