A192186 a(n) = binomial(2*n, floor(n*sqrt(2))).

1, 2, 6, 15, 56, 120, 495, 2002, 4368, 18564, 38760, 170544, 735471, 1562275, 6906900, 14307150, 64512240, 131128140, 600805296, 2707475148, 5586853480, 25518731280, 51915526432, 239877544005, 1093260079344, 2250829575120, 10363194502115

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Mathematica

Table[Binomial[2*n, Floor[n*Sqrt[2]]], {n, 0, 50}] (* G. C. Greubel, Oct 05 2018 *)

Prog

(PARI) {a(n)=binomial(2*n, floor(n*sqrt(2)))}
(Magma) [Binomial(2*n, Floor(n*Sqrt(2))) : n in [0..50]]; // _G. C. Greubel, Oct 05 2018

Crossrefs

Cf. A135964 (binomial(floor(n*sqrt(2)), n)), A135965 (binomial(floor(n*(1+sqrt(2))), n)).

Sequence in context: A372853 A047870 A027287 * A243550 A354758 A003268

Adjacent sequences: A192183 A192184 A192185 * A192187 A192188 A192189

Keyword

nonn

Author

Paul D. Hanna, Jun 25 2011

Status

approved