This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
a(40) = 2 because 40 = 5*8; 5 and 8 are Fibonacci numbers but 40 is not.
N:= 1000: # to get a(1) to a(N)
A:= Vector(N):
for i from 1 do
f:= combinat:-fibonacci(i);
if f > N then break fi;
A[f]:= 1
od:
for n from 1 to N do
if A[n] = 0 then
m:= floor(n/2);
r:= min(A[1..m] + A[[seq(n-i,i=1..m)]]);
for a in select(`<=`, numtheory:-divisors(n) minus {1}, floor(sqrt(n))) do
r:= min(r, A[a] + A[n/a])
od:
A[n]:= r;
fi
od:
seq(A[i],i=1..N);
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