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Search: id:A135857
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| A135857 |
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A007318 * a bidiagonal matrix with all 1's in the main diagonal and all 3's in the subdiagonal. |
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+0
2
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| 1, 4, 1, 7, 5, 1, 10, 12, 6, 1, 13, 22, 18, 7, 1, 16, 35, 40, 25, 8, 1, 19, 51, 75, 65, 33, 9, 1, 22, 70, 126, 140, 98, 42, 10, 1, 25, 92, 196, 266, 238, 140, 52, 11, 1, 28, 117, 288, 462, 504, 378, 192, 63, 12, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A036563
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FORMULA
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Binomial transform of an infinite lower triangular matrix with all 1's in the main diagonal and all 3's in the subdiagonal; i.e. by columns - every column = (1, 3, 0, 0, 0,...).
T(n,k)=(3n-2k+1)*C(n+1,k+1)/(n+1). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]
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EXAMPLE
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First few rows of the triangle are:
1;
4, 1;
7, 5, 1;
10, 12, 6, 1;
13, 22, 18, 7, 1;
16, 35, 40, 25, 8, 1;
19, 51, 75, 65, 33, 9, 1;
...
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CROSSREFS
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Cf. A036563.
Cf. A110813 [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]
Sequence in context: A143972 A019651 A094649 this_sequence A156558 A082455 A078975
Adjacent sequences: A135854 A135855 A135856 this_sequence A135858 A135859 A135860
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 01 2007
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