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A059045
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Square array T(n,k) read by antidiagonals where T(0,k)=0 and T(n,k)=1+2k+3k^2+..+n*k^(n-1).
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1
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0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 5, 1, 0, 1, 10, 17, 7, 1, 0, 1, 15, 49, 34, 9, 1, 0, 1, 21, 129, 142, 57, 11, 1, 0, 1, 28, 321, 547, 313, 86, 13, 1, 0, 1, 36, 769, 2005, 1593, 586, 121, 15, 1, 0, 1, 45, 1793, 7108, 7737, 3711, 985, 162, 17, 1, 0, 1, 55, 4097, 24604, 36409
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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FORMULA
| T(n, k) =n*k^(n-1)+T(n-1, k) =(n*k^(n+1) - (n+1)*k^n + 1) / (k-1)^2
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CROSSREFS
| Rows include A057427, A000217, A000337, A014915, A014916, A014917, A014918, A014920. Columns include A000004, A000012, A005408, A056109, A056578, A056579.
Sequence in context: A125104 A098157 A165253 * A122935 A131198 A090181
Adjacent sequences: A059042 A059043 A059044 * A059046 A059047 A059048
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Dec 18 2000
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