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Search: id:A115282
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| A115282 |
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Correlation triangle for the sequence 3-2*0^n. |
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+0
2
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| 1, 3, 3, 3, 10, 3, 3, 12, 12, 3, 3, 12, 19, 12, 3, 3, 12, 21, 21, 12, 3, 3, 12, 21, 28, 21, 12, 3, 3, 12, 21, 30, 30, 21, 12, 3, 3, 12, 21, 30, 37, 30, 21, 12, 3, 3, 12, 21, 30, 39, 39, 30, 21, 12, 3, 3, 12, 21, 30, 39, 46, 39, 30, 21, 12, 3
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A102214. Diagonal sums are A115283. T(2n,n) is 9n+1 (A017173), the partial sums of (3-2*0^n)^2. T(2n,n)-T(2n,n+1) is 7-6*0^n.
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FORMULA
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G.f.: (1+2x)(1+2x*y)/((1-x)(1-x*y)(1-x^2*y)); Number triangle T(n, k)=sum{j=0..n, [j<=k]*(3-2*0^(k-j))*[j<=n-k]*(3-2*0^(n-k-j))}.
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EXAMPLE
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Triangle begins
1;
3, 3;
3,10, 3;
3,12,12, 3;
3,12,19,12, 3;
3,12,21,21,12, 3;
3,12,21,28,21,12,3;
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CROSSREFS
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Sequence in context: A060828 A161808 A097707 this_sequence A147605 A029616 A141794
Adjacent sequences: A115279 A115280 A115281 this_sequence A115283 A115284 A115285
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 19 2006
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