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Search: id:A035041
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| A035041 |
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2^n - C(n,0)- ... - C(n,8). |
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+0
4
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 67, 299, 1093, 3473, 9949, 26333, 65536, 155382, 354522, 784626, 1695222, 3593934, 7507638, 15505590, 31746651, 64574877, 130712029, 263644133, 530396371, 1065084887, 2136022699, 4279934123, 8570386546
(list; graph; listen)
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OFFSET
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0,11
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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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FORMULA
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G.f.: x^9/((1-2*x)*(1-x)^9).
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MAPLE
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a:=n->sum(binomial(n, j), j=9..n): seq(a(n), n=0..33); - 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=s9=0; Do[s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; s7+=s6; s8+=s7; s9+=s8; AppendTo[lst, s9]; a=a*2, {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009]
Table[Sum[ Binomial[n, k], {k, 9, n}], {n, 0, 33}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2009]
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CROSSREFS
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a(n)= A055248(n, 9). Partial sums of A035040.
Cf. A000079, A000225, A000295, A002663, A002664, A035038-A035042.
Sequence in context: A141969 A142645 A001808 this_sequence A125591 A092841 A165673
Adjacent sequences: A035038 A035039 A035040 this_sequence A035042 A035043 A035044
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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