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A085388
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First differences of k^n.
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3
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1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 6, 4, 0, 1, 4, 12, 18, 8, 0, 1, 5, 20, 48, 54, 16, 0, 1, 6, 30, 100, 192, 162, 32, 0, 1, 7, 42, 180, 500, 768, 486, 64, 0, 1, 8, 56, 294, 1080, 2500, 3072, 1458, 128, 0, 1, 9, 72, 448, 2058, 6480, 12500, 12288, 4374, 256, 0, 1, 10, 90, 648
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Rows include A011782, A025192, A002001, A005054, A052934, A055272, A055274, A055275, A052268, A055276. Diagonals include A053506, A085389, A085390. Row-wise binomial transform is A083064.
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FORMULA
| Square array defined by T(n, k)=k*(k+1)^n/(k+1)+0^n/(k+1)
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EXAMPLE
| Rows begin
1 0 0 0 0 ...
1 1 2 4 8 ...
1 2 6 18 24 ...
1 3 12 48 192...
1 4 20 100 500...
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CROSSREFS
| Sequence in context: A130020 A091063 A198793 * A144074 A124540 A124550
Adjacent sequences: A085385 A085386 A085387 * A085389 A085390 A085391
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jun 30 2003
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