OFFSET
1,2
COMMENTS
See Fu and Han (2016), Section 1, for precise definition.
LINKS
Hao Fu, G.-N. Han, Computer assisted proof for Apwenian sequences related to Hankel determinants, arXiv preprint arXiv:1601.04370 [math.NT], 2016.
MAPLE
F_3 := proc(n)
option remember ;
local v, x;
v := 1-x-x^2 ;
g := 1;
for p from 0 do
g := g*subs(x=x^(3^p), v) ;
if 3^p > n then
break;
end if;
end do:
coeff(g, x, n) ;
end proc:
A278995 := proc(n)
local H, i, j ;
H := Matrix(n, n) ;
for i from 0 to n-1 do
for j from 0 to n-1 do
H[i+1, j+1] := F_3(i+j) ;
end do:
end do:
LinearAlgebra[Determinant](H) ;
end proc:
seq(A278995(n), n=1..40) ;
MATHEMATICA
F3[n_] := F3[n] = Module[{v, x}, v[x_] := 1 - x - x^2; g = 1; For[p = 0, True, p++, g = g*v[x^(3^p)]; If[3^p>n, Break[]]]; Coefficient[g, x, n]];
a[n_] := Module[{H}, Do[H[i+1, j+1] = F3[i+j], {i, 0, n-1}, {j, 0, n-1}]; Det[Array[H, {n, n}]]];
Array[a, 40] (* Jean-François Alcover, Dec 03 2017, translated from Maple *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Dec 07 2016
STATUS
approved