A051195 T(2n+2,n), array T as in A050186; a count of aperiodic binary words.

0, 4, 12, 56, 200, 792, 2968, 11440, 43632, 167960, 646184, 2496144, 9655984, 37442160, 145416240, 565722720, 2203937120, 8597496600, 33577908232, 131282408400, 513791254704, 2012616400080, 7890369761872, 30957699535776

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Formula

C(2n+2, n)-[n even]*C(n+1, n/2). - Ralf Stephan, Mar 19 2004

Conjecture: -(n+2)*(n-1)*a(n) +2*(n+1)*(3*n-4)*a(n-1) +4*(-n^2+5*n-1)*a(n-2) -8*n*(3*n-4)*a(n-3) +16*(n-1)*(2*n-5)*a(n-4)=0. - R. J. Mathar, May 20 2013

Crossrefs

Sequence in context: A149420 A298680 A149421 * A179607 A149422 A149423

Adjacent sequences: A051192 A051193 A051194 * A051196 A051197 A051198

Keyword

nonn

Author

Clark Kimberling

Status

approved