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A062162
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Boustrophedon transform of (-1)^n.
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5
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1, 0, 0, 1, 0, 5, 10, 61, 280, 1665, 10470, 73621, 561660, 4650425, 41441530, 395757181, 4031082640, 43626778785, 499925138190, 6046986040741, 76992601769220, 1029315335116745, 14416214547400450
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history;
text;
internal format)
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OFFSET
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0,6
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COMMENTS
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Inverse binomial transform of Euler numbers A000111. - Paul Barry, Jan 21 2005
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LINKS
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Table of n, a(n) for n=0..22.
Index entries for sequences related to boustrophedon transform
Peter Luschny, An old operation on sequences: the Seidel transform
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FORMULA
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E.g.f.: exp(-x)*(tan(x) + sec(x)). - Vladeta Jovovic, Feb 11 2003
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PROG
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(Sage) # Generalized algorithm of L. Seidel (1877)
def A062162_list(n) :
R = []; A = {-1:0, 0:0}
k = 0; e = 1
for i in range(n) :
Am = (-1)^i
A[k + e] = 0
e = -e
for j in (0..i) :
Am += A[k]
A[k] = Am
k += e
R.append(A[e*i//2])
return R
A062162_list(22) # Peter Luschny, June 02 2012
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CROSSREFS
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Cf. A000111 (binomial transform).
Cf. A000667.
Sequence in context: A005438 A072309 A061518 * A062848 A054884 A218540
Adjacent sequences: A062159 A062160 A062161 * A062163 A062164 A062165
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KEYWORD
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nonn,easy,changed
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AUTHOR
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Frank Ellermann, Jun 10 2001
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STATUS
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approved
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