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A046919
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Maximal coefficient of polynomial p(n), with p(3)=1, p(n) = (1 - t^(2*n - 4))*(1 - t^(2*n - 3))*p(n - 1)/((1 - t^(n - 3))*(1 - t^n)).
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1
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1, 1, 3, 8, 24, 73, 227, 734, 2430, 7684, 17516, 31162, 47180, 64018, 80423, 95589, 109090, 120784
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,3
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REFERENCES
| J. Riordan, The number of score sequences in tournaments, J. Combin. Theory, 5 (1968), 87-89.
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EXAMPLE
| 1; 1+t+t^2+t^3+t^4+t^5, t^10+t^9+2*t^8+2*t^7+3*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1, ...
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MAPLE
| p := proc(n) option remember; if n = 3 then 1 else (1-t^(2*n-4))*(1-t^(2*n-3))*p(n-1)/((1-t^(n-3))*(1-t^n)); fi; end;
for i from 3 to 20 do L[ i ] := seriestolist(series(simplify(p(i)), t, 50)); lprint(max(op(L[ i ])); od:
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CROSSREFS
| Cf. A046918.
Sequence in context: A118264 A006365 A178543 * A188175 A046342 A000958
Adjacent sequences: A046916 A046917 A046918 * A046920 A046921 A046922
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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