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A035042
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2^n - C(n,0)- ... - C(n,9).
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10
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 79, 378, 1471, 4944, 14893, 41226, 106762, 262144, 616666, 1401292, 3096514, 6690448, 14198086, 29703676, 61450327, 126025204, 256737233, 520381366, 1050777737, 2115862624, 4251885323, 8531819446
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,12
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REFERENCES
| J. Eckhoff, Der Satz von Radon in konvexen Productstrukturen II, Monat. f. Math., 73 (1969), 7-30.
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FORMULA
| G.f.: x^10/((1-2*x)*(1-x)^10).
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MAPLE
| a:=n->sum(binomial(n, j), j=10..n): seq(a(n), n=0..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
| a=1; lst={}; s1=s2=s3=s4=s5=s6=s7=s8=s9=s10=0; Do[s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; s7+=s6; s8+=s7; s9+=s8; s10+=s9; AppendTo[lst, s10]; a=a*2, {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009]
Table[Sum[ Binomial[n, k], {k, 10, n}], {n, 0, 33}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2009]
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CROSSREFS
| a(n)= A055248(n, 10). Partial sums of A035041.
Cf. A000079, A000225, A000295, A002663, A002664, A035038-A035041.
Sequence in context: A200055 A030116 A200036 * A061593 A190216 A160559
Adjacent sequences: A035039 A035040 A035041 * A035043 A035044 A035045
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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