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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

Table of n, a(n) for n=0..36.

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 * A051765 A207975 A321623

Adjacent sequences:  A192656 A192657 A192658 * A192660 A192661 A192662

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 07 2011

STATUS

approved

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Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)