A135965 a(n) = binomial(floor(n*(1+sqrt(2))),n) for n>=0.

1, 2, 6, 35, 126, 792, 3003, 11440, 75582, 293930, 1961256, 7726160, 30421755, 206253075, 818809200, 5567902560, 22239974430, 151584480450, 608359048206, 2438362177020, 16735679449896, 67327446062800, 462525733568080

Offset

0,2

Links

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

Mathematica

Table[Binomial[Floor[n*(1+Sqrt[2])], n], {n, 0, 30}] (* Harvey P. Dale, Aug 25 2015 *)

Prog

(PARI) a(n)=binomial(floor(n*(1+sqrt(2))), n)
(Magma) [Binomial(Floor(n*(1+Sqrt(2))), n): n in [0..30]]; // G. C. Greubel, Aug 17 2018

Crossrefs

Cf. A135964.

Sequence in context: A327038 A228931 A101262 * A018983 A279736 A081003

Adjacent sequences: A135962 A135963 A135964 * A135966 A135967 A135968

Keyword

nonn

Author

Paul D. Hanna, Dec 11 2007

Status

approved