login
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
OFFSET
0,2
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
Partial sums of A186546.
Sequence in context: A345235 A128021 A036241 * A125028 A349777 A119262
KEYWORD
nonn
AUTHOR
Emanuele Munarini, Jul 07 2011
STATUS
approved