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Search: id:A051274
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| A051274 |
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Expansion of (1+x^4)/((1-x^2)*(1-x^3)). |
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+0
2
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| 1, 0, 1, 1, 2, 1, 3, 2, 3, 3, 4, 3, 5, 4, 5, 5, 6, 5, 7, 6, 7, 7, 8, 7, 9, 8, 9, 9, 10, 9, 11, 10, 11, 11, 12, 11, 13, 12, 13, 13, 14, 13, 15, 14, 15, 15, 16, 15, 17, 16, 17, 17, 18, 17, 19, 18, 19, 19, 20, 19, 21, 20, 21, 21, 22, 21, 23, 22, 23, 23, 24, 23, 25
(list; graph; listen)
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OFFSET
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0,5
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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( 3 ).
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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
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FORMULA
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a(n) = 2*floor(n/2) + floor(n/3)-n+1. Also a(0) = 1 and a(1) = 0, a(n) = a(n-2) + (a(n-1) reduced = (mod 2)). Again, a(0) = 1, a(1) = 0, a(n) = a(n-1) -1- (-1)^n- ( a(n-2) mod 2). - Benoit Cloitre and DELEHAM Philippe, Jan 17 2004
a(n)=a(n-2)+a(n-3)-a(n-5) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 14 2006
Euler transform of length 8 sequence [ 0, 1, 1, 1, 0, 0, 0, -1]. - Michael Somos Sep 26 2006
G.f.: (1-x^8)/((1-x^2)*(1-x^3)*(1-x^4)). a(n)=a(n-6)+2. a(-1-n)=-a(n). - Michael Somos Sep 26 2006
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PROGRAM
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(PARI) a(n)=n\3+1-n%2 (from Michael Somos, Aug 26, 2002)
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CROSSREFS
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Sequence in context: A087825 A029206 A029200 this_sequence A025797 A035386 A029164
Adjacent sequences: A051271 A051272 A051273 this_sequence A051275 A051276 A051277
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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