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Search: id:A081753
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A081753 a(n) = floor(n/12) if n==2 (mod 12); a(n)=floor(n/12)+1 otherwise. +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; listen)
OFFSET

0,13

COMMENT

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.

REFERENCES

Yves Hellegouarch, "Invitation aux mathematiques de Fermat-Wiles", Dunod, 2eme edition, p. 285

PROGRAM

(PARI) a(k)=if(k%12-2, floor(k/12)+1, floor(k/12))

CROSSREFS

Cf. A008615.

Adjacent sequences: A081750 A081751 A081752 this_sequence A081754 A081755 A081756

Sequence in context: A116204 A106054 A023568 this_sequence A089049 A029420 A029405

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 08 2003

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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