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A081753
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a(n) = floor(n/12) if n==2 (mod 12); a(n)=floor(n/12)+1 otherwise.
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0
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1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,13
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COMMENTS
| a(2n)=dimension of M(2n), where M(2n) denotes the complex vector space of modular forms of weight 2n for the group : PSL2(Z). dimension of M(2n+1)=0.
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REFERENCES
| Yves Hellegouarch, "Invitation aux mathematiques de Fermat-Wiles", Dunod, 2eme edition, p. 285
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PROG
| (PARI) a(k)=if(k%12-2, floor(k/12)+1, floor(k/12))
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CROSSREFS
| Cf. A008615.
Sequence in context: A169695 A173642 A023568 * A089049 A029420 A194822
Adjacent sequences: A081750 A081751 A081752 * A081754 A081755 A081756
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 08 2003
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