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Search: id:A096195
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| A096195 |
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a(n) = number of distinct solutions to the set of equations 1 +- x +- x^2 +- ... +- x^n. |
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+0
2
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| 2, 8, 16, 64, 106, 324, 696, 1856, 4046, 10240, 19084, 49152, 98110, 218140, 464084, 1047744
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(2)=8 because the set of formulas 1 +- x +- x^2 generates 8 distinct solutions
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MATHEMATICA
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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}]]]]
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CROSSREFS
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A036289 gives the total number of solutions to the equations.
Sequence in context: A100243 A026523 A066792 this_sequence A094014 A098232 A100736
Adjacent sequences: A096192 A096193 A096194 this_sequence A096196 A096197 A096198
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KEYWORD
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more,nonn
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AUTHOR
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Josh Locker (jlocker(AT)mail.rochester.edu), Jul 26 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Labos E. (labos(AT)ana.sote.hu), Jul 27 2004
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