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A120162
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a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/4).
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1
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3, 4, 5, 6, 8, 10, 12, 15, 19, 24, 30, 37, 46, 58, 72, 90, 113, 141, 176, 220, 275, 344, 430, 538, 672, 840, 1050, 1313, 1641, 2051, 2564, 3205, 4006, 5008, 6260, 7825, 9781, 12226, 15283, 19103
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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f[n_, p_, q_]:= f[n, p, q]= p +Quotient[q + Sum[f[k, p, q], {k, n-1}], 4];
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PROG
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(Magma)
function f(n, a, b)
t:=0;
for k in [1..n-1] do
t+:= a+Floor((b+t)/4);
end for;
return t;
end function;
g:= func< n, a, b | f(n+1, a, b)-f(n, a, b) >;
(SageMath)
@CachedFunction
def f(n, p, q): return p + (q + sum(f(k, p, q) for k in range(1, n)))//4
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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