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Search: id:A006584
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| A006584 |
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If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12. |
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+0
1
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| 0, 0, 0, 2, 4, 10, 16, 28, 40, 60, 80, 110, 140, 182, 224, 280, 336, 408, 480, 570, 660, 770, 880, 1012, 1144, 1300, 1456, 1638, 1820, 2030, 2240, 2480, 2720, 2992, 3264, 3570, 3876, 4218, 4560, 4940, 5320
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Graded dimension of L''/[L',L''] for the free Lie algebra on 2 generators. Let L be a free Lie algebra with 2 generators graded by the total degree. Set L'=[L,L] and L''=[L',L']. Then a(n) is equal to the dimension of the homogeneous subspace of degree n+2 in the quotient L''/[L',L'']. - Sergei Duzhin (duzhin(AT)pdmi.ras.ru), Mar 15 2004
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REFERENCES
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W. A. Whitworth, DCC Exercises in Choice and Chance, Stechert, NY, 1945, p. 33.
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CROSSREFS
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Sequence in context: A111149 A123689 A137928 this_sequence A032246 A077627 A117862
Adjacent sequences: A006581 A006582 A006583 this_sequence A006585 A006586 A006587
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KEYWORD
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nonn
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AUTHOR
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njas
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