|
| |
|
|
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_{k=0..n} floor(sqrt(binomial(2*k,k))).
|
|
|
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
|
Partial sums of A192655.
Sequence in context: A104993 A223940 A189076 * A128761 A332726 A239557
Adjacent sequences: A192653 A192654 A192655 * A192657 A192658 A192659
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Emanuele Munarini, Jul 07 2011
|
|
|
STATUS
|
approved
|
| |
|
|
