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A192658 Binomial convolution of the Floor-Sqrt transform of central binomial coefficients. 0
1, 2, 6, 20, 72, 270, 1040, 4036, 15714, 61226, 238778, 930716, 3628520, 14143922, 55134174, 214941488, 838158510, 3269630046, 12761106790, 49834920864, 194743761948, 761543265544, 2980128724806, 11670402459630, 45734346816026, 179348093549914, 703781965002650 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

FORMULA

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

MATHEMATICA

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

PROG

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

CROSSREFS

Sequence in context: A150133 A244783 A216837 * A049141 A049129 A063376

Adjacent sequences:  A192655 A192656 A192657 * A192659 A192660 A192661

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 07 2011

STATUS

approved

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Last modified June 19 13:26 EDT 2019. Contains 324222 sequences. (Running on oeis4.)