A133510 Number of primitive H-invariant prime ideals in O_q(M_{2,n}) generic quantum matrices.

2, 5, 17, 53, 167, 515, 1577, 4793, 14507, 43775, 131837, 396533, 1191647, 3579035, 10745297, 32252273, 96789587, 290434295, 871433957, 2614564013, 7844216327, 23533697555, 70603189817, 211813763753, 635449679867, 1906365816815

Offset

1,1

Comments

Equation given in Bell, Launois, Nguyen, page 2.

Links

Table of n, a(n) for n=1..26.

J. Bell, S. Launois and N. Nguyen, Dimension and enumeration of primitive ideals in quantum algebras, arXiv:0705.3413 v2, Nov 29, 2007.

Formula

a(n) = ((3^(n+1))-(2^(n+1))+((-1)^(n+1))+2)/4.

G.f.: x(2-5x+2x^2+3x^3)/((1-x)(1-3x)(1-2x)(1+x)). [From R. J. Mathar, Oct 30 2008]

Example

a(8) = ((3^(8 + 1)) - (2^(8 + 1)) + ((-1)^(8 + 1)) + 2) / 4 = 4793.

Crossrefs

Sequence in context: A378364 A141303 A263678 * A191640 A148408 A002692

Adjacent sequences: A133507 A133508 A133509 * A133511 A133512 A133513

Keyword

easy,nonn

Author

Jonathan Vos Post, Nov 30 2007

Extensions

Corrected the definition: Changed O_q(M_n) to O_q(M_{2,n}) Karel Casteels (kcasteel(AT)sfu.ca), Feb 20 2010

Status

approved