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a(n) = a(n-1) + floor((a(n-2) + a(n-3))/2), with a(n)=1 for n < 3.
a(n) = A022875(n) for 1 < n < 15.
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cur=prev+(prpr+ppp)//2
print (str(ppp)+, end=', ', )
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Harvey P. Dale, <a href="/A214041/b214041.txt">Table of n, a(n) for n = 0..1000</a>
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nxt[{a_, b_, c_}]:={b, c, c+Floor[(a+b)/2]}; NestList[nxt, {1, 1, 1}, 50][[All, 1]] (* Harvey P. Dale, Jun 14 2020 *)
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