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A172320 11th column of A172119. 0
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2047, 4092, 8180, 16352, 32688, 65344, 130624, 261120, 521984, 1043456, 2085888, 4169729, 8335366, 16662552, 33308752, 66584816, 133104288, 266077952, 531894784, 1063267584 (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 (2,0,0,0,0,0,0,0,0,0,-1).

FORMULA

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=10.

G.f: f(z)=1/(1-2*z+z^(11)).

a(n+11)=2*a(n+10)-a(n).

EXAMPLE

a(12)=C(12,12)*2^12-C(2,1)*2^1=4092.

MAPLE

k:=10:taylor(1/(1-2*z+z^(k+1)), z=0, 30); 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. A172319, A172318, A172317, A172316, A172119, A001949, A107066.

Sequence in context: A056767 A008863 A145117 * A234592 A168082 A295081

Adjacent sequences:  A172317 A172318 A172319 * A172321 A172322 A172323

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Jan 31 2010

STATUS

approved

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Last modified August 2 12:30 EDT 2021. Contains 346424 sequences. (Running on oeis4.)