|
| |
|
|
A096195
|
|
a(n) = number of distinct solutions to the set of equations 1 +- x +- x^2 +- ... +- x^n.
|
|
1
| |
|
|
2, 8, 16, 64, 106, 324, 696, 1856, 4046, 10240, 19084, 49152, 98110, 218140, 464084, 1047744
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
EXAMPLE
| a(2)=8 because the set of formulas 1 +- x +- x^2 generates 8 distinct solutions
|
|
|
MATHEMATICA
| a[n_] := a[n] = Length[Union[ Flatten[x /. Table[Solve[1 + Sum[(-1)^IntegerDigits[k, 2, n + 1][[p + 1]]x^p, {p, n}] == 0], {k, 0, 2^n - 1}]]]]
|
|
|
CROSSREFS
| A036289 gives the total number of solutions to the equations.
Sequence in context: A100243 A026523 A066792 * A094014 A098232 A195798
Adjacent sequences: A096192 A096193 A096194 * A096196 A096197 A096198
|
|
|
KEYWORD
| more,nonn
|
|
|
AUTHOR
| Josh Locker (jlocker(AT)mail.rochester.edu), Jul 26 2004
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Labos E. (labos(AT)ana.sote.hu), Jul 27 2004
|
| |
|
|
