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Search: id:A047209
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| A047209 |
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Numbers that are congruent to {1, 4} mod 5. |
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+0
5
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| 1, 4, 6, 9, 11, 14, 16, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 46, 49, 51, 54, 56, 59, 61, 64, 66, 69, 71, 74, 76, 79, 81, 84, 86, 89, 91, 94, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 124, 126, 129, 131, 134, 136, 139, 141, 144, 146, 149, 151, 154
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 72 ).
n such that Kronecker(5,n)==mu(gcd(5,n)). - Jon Perry (perry(AT)globalnet.co.uk), Sep 17 2002
Apart from initial terms, a(n)=5*n-a(n-1), (with a(1)=4) Example: for n=2, a(2)=5*2-4=6; n=3, a(3)=5*3-6=9; n=4, a(4)=5*4-9=11 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 17 2009]
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LINKS
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William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
Eric Weisstein's World of Mathematics, Determined by Spectrum
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FORMULA
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G.f.: (1+3x+x^2)/((1-x)(1-x^2)).
a(n)=floor((5n+3)/2).
a(0)=1, a(n)=5n-a(n-1). - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
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CROSSREFS
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Cf. A000566.
Sequence in context: A133578 A010387 A010411 this_sequence A138812 A003259 A020935
Adjacent sequences: A047206 A047207 A047208 this_sequence A047210 A047211 A047212
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Edited by Michael Somos, Sep 22, 2002
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