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Search: id:A130469
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| A130469 |
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Triangular array read by rows: T(j,k) = k*(j-k)! for k < j, T(j,k) = 1 for k = j; 1 <= k <= j. |
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+0
4
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| 1, 1, 1, 2, 2, 1, 6, 4, 3, 1, 24, 12, 6, 4, 1, 120, 48, 18, 8, 5, 1, 720, 240, 72, 24, 10, 6, 1, 5040, 1440, 360, 96, 30, 12, 7, 1, 40320, 10080, 2160, 480, 120, 36, 14, 8, 1, 362880, 80640, 15120, 2880, 600, 144, 42, 16, 9, 1, 3628800, 725760, 120960, 20160, 3600
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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T is also defined in A129867, which gives row sums of T.
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EXAMPLE
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First seven rows of T are
[ 1 ]
[ 1, 1 ]
[ 2, 2, 1 ]
[ 6, 4, 3, 1 ]
[ 24, 12, 6, 4, 1 ]
[ 120, 48, 18, 8, 5, 1 ]
[ 720, 240, 72, 24, 10, 6, 1 ]
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PROGRAM
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(MAGMA) m:=11; &cat[ [ k*Factorial(j-k): k in [1..j-1] ] cat [ 1 ]: j in [1..m] ];
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CROSSREFS
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Cf. A129867, A130470 (antidiagonal sums), A130471 (first differences of antidiagonal sums).
Sequence in context: A065052 A128308 A109152 this_sequence A106381 A064784 A108074
Adjacent sequences: A130466 A130467 A130468 this_sequence A130470 A130471 A130472
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KEYWORD
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nonn,tabl
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 28 2007
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