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URL: https://oeis.org/A035042

⇱ A035042 - OEIS

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A035042
a(n) = 2^n - C(n,0)- ... - C(n,9).
13
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, 17102205992, 34256863240, 68584333940
OFFSET
0,12
LINKS
J. Eckhoff, Der Satz von Radon in konvexen Productstrukturen II, Monat. f. Math., 73 (1969), 7-30.
Index entries for linear recurrences with constant coefficients, signature (12,-65,210,-450,672,-714,540,-285,100,-21,2).
FORMULA
G.f.: x^10/((1 - 2*x)*(1 - x)^10).
MAPLE
a:=n->sum(binomial(n, j), j=10..n): seq(a(n), n=0..33); # Zerinvary Lajos, Jan 04 2007
MATHEMATICA
Table[2^n-Sum[Binomial[n, i], {i, 0, 9}], {n, 0, 40}] (* Harvey P. Dale, Jan 05 2013 *)
PROG
(Haskell)
a035042 n = a035042_list !! n
a035042_list = map (sum . drop 10) a007318_tabl
-- Reinhard Zumkeller, Jun 20 2015
CROSSREFS
Column m=10 of A055248.
Partial sums of A035041.
Cf. A007318.
Sequence in context: A200036 A224775 A258480 * A061593 A344728 A243955
KEYWORD
nonn,easy
STATUS
approved