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Search: id:A035039
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| A035039 |
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2^n - C(n,0)- ... - C(n,6). |
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+0
7
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| 0, 0, 0, 0, 0, 0, 0, 1, 9, 46, 176, 562, 1586, 4096, 9908, 22819, 50643, 109294, 230964, 480492, 988116, 2014992, 4084248, 8243109, 16587165, 33308926, 66794952, 133820134, 267936278, 536249296, 1072973612, 2146540999
(list; graph; listen)
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OFFSET
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0,9
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COMMENT
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a(n)= A055248(n,7). Partial sums of A035038.
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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^7/((1-2*x)*(1-x)^7).
a(n)=sum{k=0..n, C(n, k+7)} = sum{k=7..n, C(n, k)}; a(n)=2a(n-1)+C(n-1, 6). - Paul Barry (pbarry(AT)wit.ie), Aug 23 2004
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MAPLE
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a:=n->sum(binomial(n, j), j=7..n): seq(a(n), n=0..31); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 12 2007
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MATHEMATICA
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a=1; lst={}; s1=s2=s3=s4=s5=s6=s7=0; Do[s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; s7+=s6; AppendTo[lst, s7]; a=a*2, {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009]
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CROSSREFS
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Cf. A000079, A000225, A000295, A002663, A002664, A035038-A035042.
Sequence in context: A001781 A053308 A034487 this_sequence A001926 A085385 A081193
Adjacent sequences: A035036 A035037 A035038 this_sequence A035040 A035041 A035042
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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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