This site is supported by donations to The OEIS Foundation.



Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035039 2^n - C(n,0)- ... - C(n,6). 7


%S 0,0,0,0,0,0,0,1,9,46,176,562,1586,4096,9908,22819,50643,109294,

%T 230964,480492,988116,2014992,4084248,8243109,16587165,33308926,

%U 66794952,133820134,267936278,536249296,1072973612,2146540999

%N 2^n - C(n,0)- ... - C(n,6).

%C a(n)= A055248(n,7). Partial sums of A035038.

%D J. Eckhoff, Der Satz von Radon in konvexen Productstrukturen II, Monat. f. Math., 73 (1969), 7-30.

%H <a href="/index/Rec#order_08">Index to sequences with linear recurrences with constant coefficients</a>, signature (9,-35,77,-105,91,-49,15,-2).

%F G.f.: x^7/((1-2*x)*(1-x)^7).

%F 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_, Aug 23 2004

%p a:=n->sum(binomial(n,j),j=7..n): seq(a(n), n=0..31); - _Zerinvary Lajos_, Feb 12 2007

%t 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 Joseph Stephan Orlovsky_, Jan 10 2009]

%Y Cf. A000079, A000225, A000295, A002663, A002664, A035038-A035042.

%K nonn,easy

%O 0,9

%A _N. J. A. Sloane_.

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 21 07:49 EST 2014. Contains 252297 sequences.