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Search: id:A143631
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| A143631 |
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Let A(0)=1, B(0)=0 and C(0)=0. Let A(n+1) = - sum {k = 0..n) binomial(n,k)*C(k), B(n+1) = sum {k = 0..n) binomial(n,k)*A(k) and C(n+1) = sum {k = 0..n) binomial(n,k)*B(k). This entry gives the sequence B(n). |
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+0
10
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| 0, 1, 1, 1, 0, -9, -64, -348, -1672, -7307, -28225, -81817, 14191, 3143571, 38184875, 353727284, 2916494333, 22260343389, 157677357255, 1007259846130, 5241783274713, 12146415146776, -210638381350012, -4813155361775252
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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The other sequences are A(n) = A143628(n) and C(n) = A143630(n). Compare with A121867 and A121868. See also A143816.
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FORMULA
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a(n) = A143629(n) + A143630(n).
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MAPLE
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# Compare with A143816
#
M:=24: a:=array(0..100): b:=array(0..100): c:=array(0..100):
a[0]:=1: b[0]:=0: c[0]:=0:
for n from 1 to M do
a[n]:= -add(binomial(n-1, k)*c[k], k=0..n-1);
b[n]:= add(binomial(n-1, k)*a[k], k=0..n-1);
c[n]:= add(binomial(n-1, k)*b[k], k=0..n-1);
end do:
A143631:=[seq(b[n], n=0..M)];
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CROSSREFS
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A121867, A121868, A143628, A143629, A143630, A143816.
Sequence in context: A092396 A018201 A000444 this_sequence A083328 A000846 A049684
Adjacent sequences: A143628 A143629 A143630 this_sequence A143632 A143633 A143634
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KEYWORD
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easy,sign
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AUTHOR
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Peter Bala (pbala(AT)toucansurf.com), Sep 05 2008
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