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A104583
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Triangle read by rows: T(i,j) is the (i,j)-entry (1<=j<=i) of the product A*B of the matrices A = [1; 3,1; 5,3,1; 7,5,3,1;...]; B = [1; 1,2; 1,2,1; 1,2,1,2; ...] (both infinite lower triangular matrices).
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0
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1, 4, 2, 9, 8, 1, 16, 18, 4, 2, 25, 32, 9, 8, 1, 36, 50, 16, 18, 4, 2, 49, 72, 25, 32, 9, 8, 1, 64, 98, 36, 50, 16, 18, 4, 2, 81, 128, 49, 72, 25, 32, 9, 8, 1, 100, 162, 64, 98, 36, 50, 16, 18, 4, 2, 121, 200, 81, 128, 49, 72, 25, 32, 9, 8, 1, 144, 242, 100, 162, 64, 98, 36, 50, 16, 18
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| T(i, j)=(i-j+1)^2 if j<=i and j is odd; 2(i-j+1)^2 if j<=i and j is even; 0 if j>i. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005
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EXAMPLE
| The first few rows are:
1;
4, 2;
9, 8, 1;
16, 18, 4, 2;
25, 32, 9, 8, 1;
36, 50, 16, 18, 4, 2;
49, 72, 25, 32, 9, 8, 1;
...
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MAPLE
| T:=proc(i, j) if j<=i and j mod 2=1 then (i-j+1)^2 elif j<=i and j mod 2 =0 then 2*(i-j+1)^2 else 0 fi end: for i from 1 to 13 do seq(T(i, j), j=1..i) od; # yields sequence in triangular form (Deutsch)
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CROSSREFS
| Cf. A002411.
Row sums yield the pentagonal pyramidal numbers (A002411).
Sequence in context: A182702 A101690 A200639 * A182728 A097664 A144811
Adjacent sequences: A104580 A104581 A104582 * A104584 A104585 A104586
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 16 2005
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005
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