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A081130
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Square array of binomial transforms of (0,0,1,0,0,0..........), read by antidiagonals.
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6
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0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 3, 0, 0, 0, 1, 6, 6, 0, 0, 0, 1, 9, 24, 10, 0, 0, 0, 1, 12, 54, 80, 15, 0, 0, 0, 1, 15, 96, 270, 240, 21, 0, 0, 0, 1, 18, 150, 640, 1215, 672, 28, 0, 0, 0, 1, 21, 216, 1250, 3840, 5103, 1792, 36, 0, 0, 0, 1, 24, 294, 2160, 9375, 21504, 20412
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,14
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COMMENTS
| Rows are three-fold convolutions of sequences of powers. Rows include A038845, A027472, A081135, A081136, A027474, A081138, A081139, A081140, A081141, A081142. The main diagonal is A081131.
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FORMULA
| T(n, k)=k^(n-2)C(n, 2). T(0, 0)=0. Rows have g.f. x^3/(1-kx)^n
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CROSSREFS
| Sequence in context: A027185 A035641 A036873 * A174428 A090225 A206705
Adjacent sequences: A081127 A081128 A081129 * A081131 A081132 A081133
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 08 2003
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