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 A172318 9th column of the array A172119. 2
 1, 2, 4, 8, 16, 32, 64, 128, 256, 511, 1020, 2036, 4064, 8112, 16192, 32320, 64512, 128768, 257025, 513030, 1024024, 2043984, 4079856, 8143520, 16254720, 32444928, 64761088, 129265151, 258017272, 515010520, 1027977056 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (2,0,0,0,0,0,0,0,-1). FORMULA G.f.: f such that: f(z)=1/(1-2*z+z^9). a(n) = sum((-1)^j*binomial(n-k*j,n-(k+1)*j)*2^(n-(k+1)*j),j=0..floor(n/(k+1))) with k=8. Recurrence relation: a(n+9) = 2*a(8) - a(n). EXAMPLE a(7)=C(7,7)*2^7=128. a(10)=C(10,10)*2^10-C(2,1)*2^1=1020. MAPLE for k from 0 to 20 do for n from 0 to 30 do b(n):=sum((-1)^j*binomial(n-k*j, n-(k+1)*j)*2^(n-(k+1)*j), j=0..floor(n/(k+1))):od:k: seq(b(n), n=0..30):od; k:=8:taylor(1/(1-2*z+z^(k+1)), z=0, 30); CROSSREFS Cf. A172317, A172316, A172119, A001949, A107066. Sequence in context: A054046 A008861 A145115 * A234590 A104144 A258800 Adjacent sequences:  A172315 A172316 A172317 * A172319 A172320 A172321 KEYWORD easy,nonn AUTHOR Richard Choulet, Jan 31 2010 STATUS approved

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Last modified April 24 22:03 EDT 2019. Contains 322446 sequences. (Running on oeis4.)