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A059881
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As upper right triangle: wiggly sums to n where first term is k (sums in which terms alternately increase and decrease or vice versa; zigzag and zagzig partitions).
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3
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1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 6, 5, 3, 2, 1, 1, 1, 9, 8, 5, 2, 2, 1, 1, 1, 14, 13, 9, 4, 3, 2, 1, 1, 1, 23, 19, 14, 8, 3, 3, 2, 1, 1, 1, 35, 31, 20, 13, 7, 4, 3, 2, 1, 1, 1, 55, 49, 32, 20, 12, 6, 4, 3, 2, 1, 1, 1, 87, 76, 50, 32, 18, 11, 7, 4, 3, 2, 1, 1, 1, 136
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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FORMULA
| T(n, k) =A059882(n, k)+A059883(n, k) if n>k>0; T(n, n)=1 if n>0.
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EXAMPLE
| Rows start (1,0,1,2,2,...), (1,1,0,2,...), (1,1,1,...) etc. T(10,4)=8 since 10 can be written as 4+6, 4+5+1, 4+2+4, 4+2+3+1, 4+1+5, 4+1+4+1, 4+1+3+2, or 4+1+2+1+2.
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CROSSREFS
| Column sums are A025047. Cf. A025048, A025049, A059882, A059883.
Sequence in context: A030218 A127440 A118198 * A096568 A025862 A004540
Adjacent sequences: A059878 A059879 A059880 * A059882 A059883 A059884
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Feb 05 2001
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