|
| |
|
|
A214774
|
|
Number of ways of obtaining a weight of n grams using eight weights of denominations 1, 1, 2, 5, 10, 10, 20 and 50 grams.
|
|
1
|
|
|
|
1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 2, Problems 5 and 7.
|
|
|
LINKS
|
Table of n, a(n) for n=0..99.
Index entries for sequences related to making change.
|
|
|
FORMULA
|
G.f.: (1+x)^2*(1+x^2)*(1+x^5)*(1+x^10)^2*(1+x^20)*(1+x^50).
a(n) = 0 for n > 99.
|
|
|
MATHEMATICA
|
CoefficientList[Series[(1 + x)^2*(1 + x^2)*(1 + x^5)*(1 + x^10)^2*(1 + x^20)*(1 + x^50), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 11 2017 *)
|
|
|
CROSSREFS
|
Cf. A213929.
Sequence in context: A037811 A091237 A143477 * A320107 A190321 A338409
Adjacent sequences: A214771 A214772 A214773 * A214775 A214776 A214777
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane, Jul 28 2012
|
|
|
STATUS
|
approved
|
| |
|
|
