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A129361
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a(n)=sum{k=floor((n+1)/2)..n, F(k+1)}.
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1
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1, 1, 3, 5, 10, 16, 29, 47, 81, 131, 220, 356, 589, 953, 1563, 2529, 4126, 6676, 10857, 17567, 28513, 46135, 74792, 121016, 196041, 317201, 513619, 831053, 1345282, 2176712, 3522981, 5700303, 9224881
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,2,-1,0,-1,-1)
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FORMULA
| G.f.: (1+x^3)/((1-x-x^2)(1-x^2-x^4)); a(n)=a(n-1)+2a(n-2)-a(n-3)-a(n-5)-a(n-6); a(n)=sum{k=0..floor(n/2), F(n-k+1)}; a(n)=sum{k=0..n, F(k+1)-F((k+1)/2)(1-(-1)^k)/2}; a(n)=sum{k=0..n, F(k+1)}-sum{k=0..floor((n-1)/2), F(k+1)}
a(n) = A000045(n+3) - A103609(n+5). - R. J. Mathar, Mar 15 2011
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MATHEMATICA
| f[n_] := Sum[Fibonacci@k, {k, Floor[(n + 3)/2], n + 1}]; Array[f, 33, 0] (* Robert G. Wilson v, Mar 15 2011 *)
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CROSSREFS
| Cf. A129362.
Sequence in context: A070558 A070559 A000990 * A062773 A192757 A079934
Adjacent sequences: A129358 A129359 A129360 * A129362 A129363 A129364
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 11 2007
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