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G.f.: Product_{n>=0} ((1 + x^(2^n) + x^(4*2^n)). (End)
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Sam Northshield, <a href="httphttps://citeseerx.ist.psu.edu/viewdocpdf/summary?doi=10.1.1.530.857a765e1f8064266bf3e36c34bf5c60bb8bb32d392">Sums across Pascal’s triangle modulo 2</a>, Congressus Numerantium, 200, pp. 35-52, 2010. [Johannes W. Meijer, Jun 05 2011]
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a[n_] := a[n] = Which[n<0, 0, n==0 || n==1, 1, Mod[n, 2]==0, a[n/2] + a[n/2-2], True, a[(n-1)/2]];
Table[a[n], {n, 0, 99}] (* Jean-François Alcover, Aug 02 2022 *)
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