|
Search: id:A143351
|
|
|
| A143351 |
|
A polynomial expansion sequence based on the Weaver telegraphic Polynomial: ( compare A122762): p(x)=-1 - x - x^2 - x^3 - x^6 - x^8 + x^10. |
|
+0
1
|
|
| 1, 0, 1, 0, 2, 0, 3, 1, 6, 3, 11, 7, 20, 15, 37, 32, 70, 68, 134, 141, 257, 288, 495, 583, 959, 1175, 1867, 2358, 3646, 4714, 7136
(list; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
REFERENCES
|
Claude Shannon and Warren Weaver, A Mathematical Theory of Communication, University of Illinois Press, Chicago, 1963, p37 - 38:
|
|
FORMULA
|
p(x)=Expand[x^10*Det[{{-1, (1/x^4 + 1/x^2)}, {(1/x^6 + 1/x^5), 1/x^2 + 1/x^4 - 1}}]]; p(x)=-1 - x - x^2 - x^3 - x^6 - x^8 + x^10; a(n)==coefficient_expansion(x^10*p(1/x)).
|
|
MATHEMATICA
|
f[x_] = -1 - x - x^2 - x^3 - x^6 - x^8 + x^10; g[x] = ExpandAll[x^10*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 30}], n], {n, 0, 30}]
|
|
CROSSREFS
|
Cf. A122762.
Sequence in context: A006209 A130627 A005307 this_sequence A158449 A106533 A035223
Adjacent sequences: A143348 A143349 A143350 this_sequence A143352 A143353 A143354
|
|
KEYWORD
|
nonn,uned,probation
|
|
AUTHOR
|
Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 22 2008
|
|
|
Search completed in 0.002 seconds
|
