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A008353 2^n*(2^(n+1) - n - 1). 4
1, 4, 20, 96, 432, 1856, 7744, 31744, 128768, 519168, 2085888, 8364032, 33501184, 134103040, 536625152, 2146959360, 8588820480, 34357379072, 137433972736, 549745328128, 2199001235456 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..172

FORMULA

a(n)=sum{k=0..n+1, C(2n+2, 2k)-2k(n-k+1)*C(n+1, k)/n}, n>0. - Paul Barry (pbarry(AT)wit.ie), Feb 24 2005

PROG

(MAGMA) [2^n*(2^(n+1) - n - 1): n in [0..50]]; // Vincenzo Librandi, Apr 25 2011

CROSSREFS

a(n) = A066345(2*n+1).

a(n) = 1 for n=0, 4 * A008464(n-2) else.

Sequence in context: A166175 A094971 A099025 * A057087 A151254 A098225

Adjacent sequences:  A008350 A008351 A008352 * A008354 A008355 A008356

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)

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Last modified February 14 19:37 EST 2012. Contains 205663 sequences.