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Search: id:A106270
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| 1, -1, 1, -2, -1, 1, -5, -2, -1, 1, -14, -5, -2, -1, 1, -42, -14, -5, -2, -1, 1, -132, -42, -14, -5, -2, -1, 1, -429, -132, -42, -14, -5, -2, -1, 1, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -4862, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -16796, -4862, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -58786, -16796
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Sequence array for the sequence a(n)=2*0^n-C(n). Row sums are A106271. Diagonal sums are A106272.
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FORMULA
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Number triangle T(n, k)=if(k<=n, 2*0^(n-k)-C(n-k), 0); Riordan array (2sqrt(1-4x)/(1+sqrt(1-4x)), x)=(c(x)sqrt(1-4x), x), c(x) the g.f. of A000108.
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EXAMPLE
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Triangle begins
1;
-1,1;
-2,-1,1;
-5,-2,-1,1;
-14,-5,-2,-1,1;
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CROSSREFS
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Adjacent sequences: A106267 A106268 A106269 this_sequence A106271 A106272 A106273
Sequence in context: A120292 A128604 A098885 this_sequence A047888 A128704 A075259
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 28 2005
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