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A192657 Convolution of the Floor-Sqrt transform of central binomial coefficients. 1
1, 2, 5, 12, 28, 62, 138, 300, 646, 1378, 2919, 6148, 12890, 26914, 56010, 116224, 240567, 496854, 1024202, 2107660, 4330651, 8886094, 18210883, 37278902, 76234264, 155750644, 317932560, 648477346, 1321706751, 2692024172, 5479576436, 11146993980, 22663554750, 46054591760 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..87

FORMULA

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

MATHEMATICA

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

PROG

(Maxima) makelist(sum(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: A202604 A118898 A111586 * A320590 A006979 A019301

Adjacent sequences:  A192654 A192655 A192656 * A192658 A192659 A192660

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 07 2011

STATUS

approved

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Last modified November 12 19:19 EST 2018. Contains 317116 sequences. (Running on oeis4.)