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A172319 10th column of A172119. 1
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1023, 2044, 4084, 8160, 16304, 32576, 65088, 130048, 259840, 519168, 1037313, 2072582, 4141080, 8274000, 16531696, 33030816, 65996544, 131863040, 263466240, 526413312, 1051789311 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (2,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f f such that: f(z)=1/(1-2*z+z^10).

a(n)=sum((-1)^j*binomial(n-k*j,n-(k+1)*j)*2^(n-(k+1)*j),j=0..floor(n/(k+1))). a(n+10)=2*a(n+9)-a(n).

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;

CROSSREFS

Cf. A172318, A172317, A172316, A172119, A001949, A107066.

Sequence in context: A051535 A008862 A145116 * A234591 A122265 A194633

Adjacent sequences:  A172316 A172317 A172318 * A172320 A172321 A172322

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Jan 31 2010

STATUS

approved

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Last modified March 20 07:27 EDT 2019. Contains 321345 sequences. (Running on oeis4.)