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A079211
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Triangle t(n,k) of numbers of partitions of n into distinct numbers not less k, 0<=k<=n.
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9
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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
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OFFSET
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0,7
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COMMENTS
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t(n,k+1)<=t(n,k)<=t(n+1,k); t(n,k)>1 iff 0<=2*k+1<n.
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LINKS
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Table of n, a(n) for n=0..102.
Eric Weisstein's World of Mathematics, Partition Function Q.
_Reinhard Zumkeller_, Notes on initial terms
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FORMULA
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t(n, k) = 1 + Sum(t(i, j): i>j>k and i+j=n), 0<=k<=n.
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CROSSREFS
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A000009(n)=t(n, 0), left border of the triangle, A025147(n)=t(n, 1) for n>1.
Sequence in context: A101873 A177991 A146289 * A214575 A081418 A088951
Adjacent sequences: A079208 A079209 A079210 * A079212 A079213 A079214
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller, Jan 01 2003
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STATUS
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approved
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