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A130493
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Triangle read by rows in which row n contains n! repeated n times.
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4
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1, 2, 2, 6, 6, 6, 24, 24, 24, 24, 120, 120, 120, 120, 120, 720, 720, 720, 720, 720, 720, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 362880, 362880, 362880, 362880, 362880, 362880, 362880, 362880, 362880
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Row sums = A001563: (1, 4, 18, 96, 600, 4320, ...). A130477(n,k) * A130478(n,k) = A130493(n,k). Example: take dot products of rows with equal numbers of terms in A130477 and A130478, (1, 3, 8, 12) dot (24, 8, 3, 2) = (24, 24, 24, 24).
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LINKS
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FORMULA
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Triangle, n! repeated n times per row.
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EXAMPLE
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First few rows of the triangle:
1;
2, 2;
6, 6, 6;
24, 24, 24, 24;
...
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MATHEMATICA
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Flatten[Table[Table[n!, {n}], {n, 10}]] (* Harvey P. Dale, Dec 24 2014 *)
Table[PadRight[{}, n, n!], {n, 10}]//Flatten (* Harvey P. Dale, Jul 04 2022 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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