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Search: id:A125096
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| A125096 |
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Expansion of -1+(phi(q)*phi(q^2) +phi(-q^2)*phi(q^4))/2 in powers of q. |
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+0
2
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| 1, 0, 2, 2, 0, 0, 0, 2, 3, 0, 2, 4, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 4, 1, 0, 4, 0, 0, 0, 0, 2, 4, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 4, 0, 0, 0, 4, 1, 0, 4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 4, 0, 0, 0, 6, 2, 0, 2, 4, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 4, 2, 0, 6, 2, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) is multiplicative with a(2) = 0, a(2^e) = 2 if e>1, a(p^e) = e+1 if p == 1, 3 (mod 8), a(p^e) = (1+(-1)^e)/2 if p == 5, 7 (mod 8).
a(4n+2)= a(8n+5)= a(8n+7)= 0
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PROGRAM
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(PARI) {a(n)= if(n<1, 0, qfrep([1, 0; 0, 8], n)[n] +qfrep([3, 1; 1, 3], n)[n])}
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CROSSREFS
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A002325(n)=a(4n)/2, A112603(n)=a(8n+1), A033761(n)=a(8n+3).
Sequence in context: A024158 A054978 A129438 this_sequence A037862 A032337 A058190
Adjacent sequences: A125093 A125094 A125095 this_sequence A125097 A125098 A125099
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KEYWORD
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nonn,mult
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AUTHOR
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Michael Somos, Nov 20 2006
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