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A172283
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(-9,11) Pascal triangle.
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1
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1, -9, 11, -9, 2, 11, -9, -7, 13, 11, -9, -16, 6, 24, 11, -9, -25, -10, 30, 35, 11, -9, -34, -35, 20, 65, 46, 11, -9, -43, -69, -15, 85, 111, 57, 11, -9, -52, -112, -84, 70, 196, 168, 68, 11, -9, -61, -164, -196, -14, 266, 364, 236, 79, 11
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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Triangle T(n,k), read by rows, given by [-9,10,0,0,0,0,0,0,0,...] DELTA [11,-10,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Feb 01 2010
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LINKS
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Table of n, a(n) for n=0..54.
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FORMULA
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With offset 0: Sum_{k=0..n} T(n,k) = 2^n. - Philippe Deléham, Feb 01 2010
T(n,k) = T(n-1,k-1) + T(n-1,k) with T(0,0)=1, T(1,0)=-9, T(1,1)=1. - Philippe Deléham, Oct 08 2011
G.f.: (1-10*x+10*y*x)/(1-x-y*x). - Philippe Deléham, Apr 13 2012
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EXAMPLE
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Triangle begins:
1
-9, 11
-9, 2, 11
-9, -7, 13, 11
-9, -16, 6, 24, 11
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CROSSREFS
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Cf. A093644, A172179, A022114, A000984.
Sequence in context: A058069 A266703 A266701 * A172185 A098728 A233408
Adjacent sequences: A172280 A172281 A172282 * A172284 A172285 A172286
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KEYWORD
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tabl,sign
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AUTHOR
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Mark Dols, Jan 30 2010
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EXTENSIONS
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More terms from Philippe Deléham, Oct 08 2011
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STATUS
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approved
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