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A110770
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Triangle read by rows: T(n,k)=binom(t(n)-t(k-1),k), where t(j)=j(j+1)/2; 1<=k<=n.
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1
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1, 3, 1, 6, 10, 1, 10, 36, 35, 1, 15, 91, 220, 126, 1, 21, 190, 816, 1365, 462, 1, 28, 351, 2300, 7315, 8568, 1716, 1, 36, 595, 5456, 27405, 65780, 54264, 6435, 1, 45, 946, 11480, 82251, 324632, 593775, 346104, 24310, 1, 55, 1431, 22100, 211876, 1221759
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| T(n,1)=t(n)=n(n+1)/2=A000217(n); T(n,n)=1 - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 09 2006
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EXAMPLE
| Triangle starts:
1;
3,1;
6,10,1;
10,36,35,1;
15,91,220,126,1;
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MAPLE
| t:=n->n*(n+1)/2: T:=proc(n, k) if k<=n then binomial(t(n)-t(k-1), k) else 0 fi end: for n from 1 to 10 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 09 2006
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CROSSREFS
| Cf. A110768, A110769, A110771.
Cf. A000217.
Sequence in context: A095066 A169955 A084536 * A106855 A064282 A087644
Adjacent sequences: A110767 A110768 A110769 * A110771 A110772 A110773
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KEYWORD
| easy,tabl,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 12 2005
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 09 2006
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