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A192633 Partial sums of the Floor-Sqrt transform of Catalan numbers. 0
1, 2, 3, 5, 8, 14, 25, 45, 82, 151, 280, 522, 978, 1839, 3474, 6587, 12533, 23919, 45773, 87811, 168830, 325246, 627706, 1213418, 2349157, 4554139, 8839854, 17178532, 33418850, 65077059, 126842635, 247443779, 483100446, 943899893, 1845533988, 3610834385, 7069128528, 13847830787 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..37.

FORMULA

a(n) = sum(floor(sqrt(binomial(2*k,k)/(k+1))),k=0..n).

MATHEMATICA

Table[Sum[Floor[Sqrt[Binomial[2k, k]/(k+1)]], {k, 0, n}], {n, 0, 100}]

PROG

(Maxima) makelist(sum(floor(sqrt(binomial(2*k, k)/(k+1))), k, 0, n), n, 0, 24);

CROSSREFS

Sequence in context: A107480 A128021 A036241 * A125028 A119262 A177510

Adjacent sequences:  A192630 A192631 A192632 * A192634 A192635 A192636

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 07 2011

STATUS

approved

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Last modified October 14 16:48 EDT 2019. Contains 328022 sequences. (Running on oeis4.)