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A104567
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Triangle read by rows: T(i,j)=i-j+1 if j is odd; T(i,j)=2(i-j+1) if j is even (1<=j<=i).
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2
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1, 2, 2, 3, 4, 1, 4, 6, 2, 2, 5, 8, 3, 4, 1, 6, 10, 4, 6, 2, 2, 7, 12, 5, 8, 3, 4, 1, 8, 14, 6, 10, 4, 6, 2, 2, 9, 16, 7, 12, 5, 8, 3, 4, 1, 10, 18, 8, 14, 6, 10, 4, 6, 2, 2, 11, 20, 9, 16, 7, 12, 5, 8, 3, 4, 1, 12, 22, 10, 18, 8, 14, 6, 10, 4, 6, 2, 2, 13, 24, 11, 20, 9, 16, 7, 12, 5, 8, 3, 4, 1, 14
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| T(i,j) is the (i,j)-entry (1<=j<=i) of the product R*H of the infinite lower triangular matrices R = [1; 1,1; 1,1,1; 1,1,1,1;...] and H = [1; 1,2; 1,2,1; 1 2,1,2;...]. Row sums yield A006578. H*R yields A104566. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 24 2005
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FORMULA
| T(i, j)=i-j+1 if j is odd; T(i, j)=2(i-j+1) if j is even (1<=j<=i). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 24 2005
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EXAMPLE
| The first few rows are:
1;
2, 2;
3, 4, 1;
4, 6, 2, 2
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MAPLE
| T:=proc(i, j) if j>i then 0 elif j mod 2 = 1 then i-j+1 elif j mod 2 = 0 then 2*(i-j+1) else fi end: for i from 1 to 14 do seq(T(i, j), j=1..i) od; # yields sequence in triangular form (Deutsch)
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CROSSREFS
| Cf. A104568, A006578, A001082, A104566.
Cf. A006578, A104566.
Sequence in context: A071507 A071509 A159804 * A087824 A008951 A119473
Adjacent sequences: A104564 A104565 A104566 * A104568 A104569 A104570
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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 24 2005
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