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Triangle t(n,k) of numbers of partitions of n into distinct numbers not less k, 0<=k<=n.

+0
9

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 5, 3, 2, 1, 1, 1, 1, 1, 6, 3, 2, 1, 1, 1, 1, 1, 1, 8, 5, 3, 2, 1, 1, 1, 1, 1, 1, 10, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 12, 7, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 15, 8, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 18, 10, 6, 4, 3, 2, 1, 1, 1, 1, 1, 1 (list; table; graph; listen)

	OFFSET	`0,7`
	COMMENT	`t(n,k+1)<=t(n,k)<=t(n+1,k); t(n,k)>1 iff 0<=2*k+1<n.`
	LINKS	`Eric Weisstein's World of Mathematics, Partition Function Q.` `Reinhard Zumkeller, Notes on initial terms`
	FORMULA	`t(n, k) = 1 + Sum(t(i, j): i>j>k and i+j=n), 0<=k<=n.`
	CROSSREFS	`A000009(n)=t(n, 0), left border of the triangle, A025147(n)=t(n, 1) for n>1.` `Sequence in context: A143898 A101873 A146289 this_sequence A081418 A088951 A107453` `Adjacent sequences: A079208 A079209 A079210 this_sequence A079212 A079213 A079214`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 01 2003`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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