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 A192659 Alternating partial sums of the Floor-Sqrt transform of central binomial coefficients. 0
 1, 0, 2, 2, 6, 9, 21, 37, 76, 144, 285, 554, 1090, 2134, 4199, 8255, 16261, 32046, 63217, 124786, 246490, 487170, 963381, 1906014, 3772683, 7470564, 14798664, 29325472, 58131320, 115267833, 228628345, 453594751, 900149737, 1786749671, 3547389573, 7044412814, 13991569223 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) = sum((-1)^(n-k)*floor(sqrt(binomial(2*k,k))),k=0..n). MATHEMATICA Table[Sum[(-1)^(n-k)Floor[Sqrt[Binomial[2k, k]]], {k, 0, n}], {n, 0, 100}] PROG (Maxima) makelist(sum((-1)^(n-k)*floor(sqrt(binomial(2*k, k))), k, 0, n), n, 0, 24); CROSSREFS Sequence in context: A000021 A000022 A034805 * A327485 A051765 A207975 Adjacent sequences:  A192656 A192657 A192658 * A192660 A192661 A192662 KEYWORD nonn AUTHOR Emanuele Munarini, Jul 07 2011 STATUS approved

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Last modified October 18 14:04 EDT 2019. Contains 328161 sequences. (Running on oeis4.)