Svante Linusson has authored 39 sequences. Here are the ten most recent ones:
A385321
Number of 3-dimensional permutation arrays of size n X n X n.
Original entry on oeis.org
1, 5, 70, 2167, 130708, 14231289, 2664334184, 831478035698
Offset: 1
For n=2, the three flags must agree on the two dimensional part. The one-dimensional part either agrees or disagrees which give five possibilities corresponding to the five set partitions of three elements.
A014315
Number of permutations of squarefree monomials of degree n in n non-commutative variables that are compatible with a non-commutative monomial order (in the Groebner basis sense).
Original entry on oeis.org
1, 2, 132, 10132883443872
Offset: 1
Svante Linusson (linusson(AT)matematik.su.se)
For example, when n=3, 132 of the (3!)! = 720 possible permutations of xyz, xzy, yxz, yzx, zxy, zyx are compatible with a monomial order.
A011822
M-sequences m_0,...,m_6 with m_1 < n.
Original entry on oeis.org
2, 8, 128, 4140, 122772, 2632429, 40412530, 463830877, 4172654846, 30636553704, 189675768766, 1016289045634, 4811471951354, 20467607443084, 79306666347738, 283064080815539, 939401940609112
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
- S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
A011823
M-sequences m_0,...,m_7 with m_1 < n.
Original entry on oeis.org
2, 9, 256, 21147, 1673856, 89026966, 3099627142, 74407044673, 1306811152024, 17675571563918, 191922235160156, 1729283934497328, 13277799809473332, 88759840725469601, 525698154348040682
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
- S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
A011824
M-sequences m_0,...,m_8 with m_1 < n.
Original entry on oeis.org
2, 10, 512, 115975, 26780972, 3851458088, 329518779600, 17824974050808, 655264935972190, 17429225215357484, 352948154052188478, 5667546539054689443, 74561538032148504662, 825178947144750263648
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
- S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
A011825
M-sequences m_0,...,m_9 with m_1 < n.
Original entry on oeis.org
2, 11, 1024, 678570, 496090330, 208865852153, 47292630585258, 6177590123863188, 507167545168644168, 28199043639169683222, 1128291787675746659550, 34105149235238728913664
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
- S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
A011830
f-vectors for simplicial complexes of dimension at most 5 on at most n-1 vertices.
Original entry on oeis.org
2, 3, 5, 10, 26, 96, 553, 5460, 95248, 2016372, 34221167, 428585293, 4098654791, 31352026159, 199469201193, 1088301119016, 5214558528621, 22356794011130, 87058966205928, 311663090859133, 1035954502931899
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
A011831
f-vectors for simplicial complexes of dimension at most 6 on at most n-1 vertices.
Original entry on oeis.org
2, 3, 5, 10, 26, 96, 553, 5461, 100708, 3617645, 173567527, 6366566540, 158639466203, 2814676722153, 37776715520590, 402955577714030, 3548682190216501, 26572504193848015, 173131916047617788
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
A011832
f-vectors for simplicial complexes of dimension at most 7 on at most n-1 vertices.
Original entry on oeis.org
2, 3, 5, 10, 26, 96, 553, 5461, 100709, 3718353, 286007155, 32121018248, 2641102182925, 135759833224363, 4635201718175448, 113247016996007525, 2101126725683521037, 30975390230263001230, 375710371221886207918
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
A011834
f-vectors for 2-neighborly simplicial complexes on n+1 vertices.
Original entry on oeis.org
1, 2, 6, 27, 190, 2246, 48230, 2016372, 173567527, 32121018248, 13203989190379, 12355576970413489, 26815273007684770624, 136972327635873480206735, 1666402843785234768663681968
Offset: 1
Svante Linusson (linusson(AT)math.kth.se)
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