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#27 by Alois P. Heinz at Sun Mar 19 09:44:49 EDT 2023
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#26 by Alois P. Heinz at Sun Mar 19 09:44:43 EDT 2023
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| NAME
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Expansion of ( g.f. (1+x)^6/(1-x).
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| STATUS
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reviewed
editing
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#25 by Joerg Arndt at Sun Mar 19 09:40:48 EDT 2023
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#24 by Michel Marcus at Sun Mar 19 09:08:10 EDT 2023
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#23 by Michel Marcus at Sun Mar 19 07:44:26 EDT 2023
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| COMMENTS
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Also continued fraction expansion of 1+(1233212607598+5*sqrt(41))/8688482797079. - . - _Bruno Berselli, _, Sep 23 2011
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| REFERENCES
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(Revue bimestrielle), Richard Choulet, Une nouvelle formule de combinatoire?, Mathématique et Pédagogie, 157 (2006), p. 53-60.
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| LINKS
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Richard Choulet, <a href="https://mp.sbpm.be/MP157.PDF">Une nouvelle formule de combinatoire?</a>, Mathématique et Pédagogie, 157 (2006), p. 53-60. In French.
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| STATUS
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approved
editing
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#22 by Peter Luschny at Fri Jun 26 14:51:39 EDT 2020
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#21 by Peter Luschny at Fri Jun 26 12:56:48 EDT 2020
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#20 by Michel Marcus at Fri Jun 26 12:48:41 EDT 2020
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#19 by Michel Marcus at Fri Jun 26 12:48:37 EDT 2020
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| FORMULA
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With m=7, a(n)=sum(C(m,n-2*k),) = Sum_{k=0..floor(n/2)} binomial(m,n-2)).*k).
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| EXAMPLE
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a(4)=) = C(7,4-0)+) + C(7,4-2)+) + C(7,4-4)=) = 35+21+1= = 57.
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| STATUS
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proposed
editing
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#18 by Michel Marcus at Fri Jun 26 12:45:36 EDT 2020
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