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 A179018 Partial sums of ceil(Fibonacci(n)/2) 0
 0, 1, 2, 3, 5, 8, 12, 19, 30, 47, 75, 120, 192, 309, 498, 803, 1297, 2096, 3388, 5479, 8862, 14335, 23191, 37520, 60704, 98217, 158914, 257123, 416029, 673144, 1089164 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Partial sums of A173173. LINKS Mircea Merca, Inequalities and Identities Involving Sums of Integer Functions J. Integer Sequences, Vol. 14 (2011), Article 11.9.1. Index entries for linear recurrences with constant coefficients, signature (2,0,0,-2,0,1). FORMULA a(n)=round(Fibonacci(n+2)/2+(n-1)/3). a(n)=round(Fibonacci(n+2)/2+n/3-1/2). a(n)=floor(Fibonacci(n+2)/2+n/3-1/6). a(n)=ceil(Fibonacci(n+2)/2+n/3-1/2). a(n)=a(n-3)+Fibonacci(n)+1, n>2. a(n)=2*a(n-1)-2*a(n-4)+a(n-6), n>5. G.f.: x*(x^3+x^2-1) / ( (x^2+x+1)*(x^2+x-1)*(x-1)^2 ). EXAMPLE a(4)=0+1+1+1+2=5 MAPLE seq(ceil(Fibonacci(n+2)/2+n/3-1/2), n=0..30) PROG (PARI) a(n)=(3*fibonacci(n+2)+2*n-1)\6 \\ Charles R Greathouse IV, Nov 02 2015 CROSSREFS Cf. A173173. Sequence in context: A060961 A225393 A243850 * A205476 A170805 A013984 Adjacent sequences:  A179015 A179016 A179017 * A179019 A179020 A179021 KEYWORD nonn,easy AUTHOR Mircea Merca, Jan 04 2011 STATUS approved

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Last modified March 26 04:32 EDT 2019. Contains 321481 sequences. (Running on oeis4.)