login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A192656 Partial sums of the Floor-Sqrt transform of central binomial coefficients. 0
1, 2, 4, 8, 16, 31, 61, 119, 232, 452, 881, 1720, 3364, 6588, 12921, 25375, 49891, 98198, 193461, 381464, 752740, 1486400, 2936951, 5806346, 11485043, 22728290, 44997518, 89121654, 176578446, 349977599, 693873777, 1376096873, 2729841361, 5416740769, 10750880013, 21342682400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..35.

FORMULA

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

MATHEMATICA

Table[Sum[Floor[Sqrt[Binomial[2k, k]]], {k, 0, n}], {n, 0, 100}]

PROG

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

CROSSREFS

Sequence in context: A104993 A223940 A189076 * A128761 A239557 A001591

Adjacent sequences:  A192653 A192654 A192655 * A192657 A192658 A192659

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 07 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 14 20:15 EST 2019. Contains 329130 sequences. (Running on oeis4.)