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1, 4, 4, 9, 18, 9, 16, 48, 48, 16, 25, 100, 150, 100, 25, 36, 180, 360, 360, 180, 36, 49, 294, 735, 980, 735, 294, 49
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums = A014477: (1, 8, 36, 128, 400, 1152, 3136,...). A135065 * [1/1, 1/2, 1/3,...] = A066524: (1, 6, 21, 60, 155,...).
Triangle T(n,k), 0<=k<=n, read by rows, given by (4,-7/4,17/28,-32/119,7/17,0,0,0,0,0,0,0,...) DELTA (4,-7/4,17/28,-32/119,7/17,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. - From DELEHAM Philippe, Oct 27 2011.
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FORMULA
| T(n,k)=binomial(n,k)*(n+1)^2=A007318(n,k)*A000290(n+1). - From DELEHAM Philippe, Oct 27 2011
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EXAMPLE
| First few rows of the triangle are:
1;
4, 4;
9, 18, 9;
16, 48, 48, 16;
25, 100, 150, 100, 25;
36, 180, 360, 360, 180, 36;
49, 294, 735, 980, 735, 294, 49;
...
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MAPLE
| with(combstruct):for n from 0 to 11 do seq(n*m*count(Combination(n), size=m), m = 1 .. n) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008
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CROSSREFS
| Cf. A000290, A127733, A066524, A014477, A084938.
Sequence in context: A059815 A202670 A203003 * A067553 A112683 A192030
Adjacent sequences: A135062 A135063 A135064 * A135066 A135067 A135068
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 16 2007
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EXTENSIONS
| Corrected by Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008
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