A035041 a(n) = 2^n - C(n,0) - C(n,1) - ... - C(n,8).

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

Offset

0,11

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

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

Ângela Mestre, José Agapito, Square Matrices Generated by Sequences of Riordan Arrays, J. Int. Seq., Vol. 22 (2019), Article 19.8.4.

Formula

G.f.: x^9/((1-2*x)*(1-x)^9).

Maple

a:=n->sum(binomial(n, j), j=9..n): seq(a(n), n=0..33); # Zerinvary Lajos, Jan 04 2007

Mathematica

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 (* Vladimir Joseph Stephan Orlovsky, Jan 10 2009 *)
Table[Sum[ Binomial[n, k], {k, 9, n}], {n, 0, 33}] (* Zerinvary Lajos, Jul 08 2009 *)

Prog

(Haskell)
a035041 n = a035041_list !! n
a035041_list = map (sum . drop 9) a007318_tabl
-- Reinhard Zumkeller, Jun 20 2015

Crossrefs

a(n)= A055248(n, 9). Partial sums of A035040.

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

Cf. A007318.

Sequence in context: A268458 A001808 A258479 * A125591 A092841 A165673

Adjacent sequences: A035038 A035039 A035040 * A035042 A035043 A035044

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved