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A120135
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a(n) = 5 + floor((1 + Sum_{j=1..n-1} a(j)) / 2).
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3
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5, 8, 12, 18, 27, 40, 60, 90, 135, 203, 304, 456, 684, 1026, 1539, 2309, 3463, 5195, 7792, 11688, 17532, 26298, 39447, 59171, 88756, 133134, 199701, 299552, 449328, 673992, 1010988, 1516482, 2274723, 3412084, 5118126, 7677189, 11515784
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) ~ c * (3/2)^n, where c = 3.514931952760438754899508881646642282344325354834703833076259269449577... - Vaclav Kotesovec, May 07 2023
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MATHEMATICA
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a[n_]:= a[n]= 5 +Floor[(1+Sum[a[k], {k, n-1}])/2];
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PROG
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(SageMath)
@CachedFunction
def A120135(n): return 5 + (1 + sum(A120135(k) for k in range(1, n)))//2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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