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A035040
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2^n - C(n,0)- ... - C(n,7).
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4
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0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 56, 232, 794, 2380, 6476, 16384, 39203, 89846, 199140, 430104, 910596, 1898712, 3913704, 7997952, 16241061, 32828226, 66137152, 132932104, 266752238, 534688516, 1070937812, 2143911424, 4290452423
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OFFSET
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0,10
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REFERENCES
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J. Eckhoff, Der Satz von Radon in konvexen Productstrukturen II, Monat. f. Math., 73 (1969), 7-30.
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LINKS
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Table of n, a(n) for n=0..32.
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FORMULA
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G.f.: x^8/((1-2*x)*(1-x)^8).
a(n)=sum{k=0..n, C(n, k+8)} = sum{k=8..n, C(n, k)}; a(n)=2a(n-1)+C(n-1, 7). - Paul Barry, Aug 23 2004
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MAPLE
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a:=n->sum(binomial(n, j), j=8..n): seq(a(n), n=0..32); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
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a=1; lst={}; s1=s2=s3=s4=s5=s6=s7=s8=0; Do[s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; s7+=s6; s8+=s7; AppendTo[lst, s8]; a=a*2, {n, 5!}]; lst [From Vladimir Joseph Stephan Orlovsky, Jan 10 2009]
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CROSSREFS
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a(n)= A055248(n, 8). Partial sums of A035039.
Cf. A000079, A000225, A000295, A002663, A002664, A035038-A035042.
Sequence in context: A198833 A001786 A053309 * A002889 A055911 A014483
Adjacent sequences: A035037 A035038 A035039 * A035041 A035042 A035043
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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