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Search: id:A070543
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| A070543 |
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Triangular array read by rows: T(n,k) = number of k-dimensional isotropic subspaces of Spin(2n+1,C). |
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+0
1
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| 1, 3, 3, 5, 7, 6, 7, 11, 12, 10, 9, 15, 18, 18, 15, 11, 19, 24, 26, 25, 21, 13, 23, 30, 34, 35, 33, 28, 15, 27, 36, 42, 45, 45, 42, 36, 17, 31, 42, 50, 55, 57, 56, 52, 45, 19, 35, 48, 58, 65, 69, 70, 68, 63, 55, 21, 39, 54, 66, 75, 81, 84, 84, 81, 75, 66, 23, 43, 60, 74, 85, 93
(list; table; graph; listen)
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OFFSET
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0,2
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LINKS
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John Baez, Week 181
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FORMULA
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T(n, k)=k(k+1)/2+2k(n-k) if 0<k<=n.
G.f.: (1+x-2*x^2*y)/((1-x)^2*(1-x*y)^3). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 05 2004
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EXAMPLE
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Rows: 1; 3,3; 5,7,6; 7,11,12,10; 9,15,18,18,15; 11,19,24,26,25,21;
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PROGRAM
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(PARI) T(n, k)=if(k<1|k>n, 0, k*(k+1)/2+2*k*(n-k))
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CROSSREFS
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Sequence in context: A092035 A134855 A110246 this_sequence A050826 A086910 A101300
Adjacent sequences: A070540 A070541 A070542 this_sequence A070544 A070545 A070546
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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Michael Somos, Apr 28, 2002
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