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A122192
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Sum of the n-th powers of the roots of the (reduced) weight enumerator of the extended Golay code (1+759*x^2+2576*x^3+759*x^4+x^6).
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1
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6, 0, -1518, -7728, 1149126, 9775920, -851127150, -10374206304, 619950551814, 10059106207584, -443172509029998, -9223980220220304, 309985135145332422, 8134978519171135632, -211181377213616588526, -6965969413257227260608, 139095682365347347024902
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| G.f.: 6*(253*x^4+1288*x^3+506*x^2+1)/(1+759*x^2+2576*x^3+759*x^4+x^6).
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MAPLE
| Newt:=proc(f) local t1, t2, t3, t4; t1:=f; t2:=diff(f, x); t3:=expand(x^degree(t1, x)*subs(x=1/x, t1)); t4:=expand(x^degree(t2, x)*subs(x=1/x, t2)); factor(t4/t3); end;
g:=1+759*x^2+2576*x^3+759*x^4+x^6; Newt(g); series(%, x, 60);
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CROSSREFS
| Cf. A001380, A123013.
Sequence in context: A111372 A179936 A156444 * A109006 A114629 A060251
Adjacent sequences: A122189 A122190 A122191 * A122193 A122194 A122195
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 12 2006
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