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Search: id:A115262
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| A115262 |
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Correlation triangle for n+1. |
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+0
1
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| 1, 2, 2, 3, 5, 3, 4, 8, 8, 4, 5, 11, 14, 11, 5, 6, 14, 20, 20, 14, 6, 7, 17, 26, 30, 26, 17, 7, 8, 20, 32, 40, 40, 32, 20, 8, 9, 23, 38, 50, 55, 50, 38, 23, 9, 10, 26, 44, 60, 70, 70, 60, 44, 26, 10, 11, 29, 50, 70, 85, 91, 85, 70, 50, 29, 11
(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 A001752. Diagonal sums are A097701. T(2n,n) is A000330(n+1). T(2n,n)-T(2n,n+1)=n+1.
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FORMULA
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G.f.: 1/((1-x)^2*(1-x*y)^2*(1-x^2*y)); Number triangle T(n, k)=sum{j=0..n, [j<=k]*(k-j+1)[j<=n-k]*(n-k-j+1)}.
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EXAMPLE
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Triangle begins
1;
2, 2;
3, 5, 3;
4, 8, 8, 4;
5, 11, 14, 11, 5;
6, 14, 20, 20, 14, 6;
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CROSSREFS
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Sequence in context: A132071 A061177 A129312 this_sequence A128141 A014430 A124727
Adjacent sequences: A115259 A115260 A115261 this_sequence A115263 A115264 A115265
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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 18 2006
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