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A130477
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Triangle generated from finite differences of A130461.
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6
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1, 1, 1, 1, 2, 3, 1, 3, 8, 12, 1, 4, 15, 40, 60, 1, 5, 24, 90, 240, 360, 1, 6, 35, 168, 630, 1680, 2520, 1, 7, 48, 280, 1344, 5040, 13440, 20160
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Right border = A001710 starting (1, 1, 3, 12, 60, 360, 2520,...) Row sums = n!: (1, 2, 6, 24,...). Example: 24 = 4! = (1 + 3 + 8 + 12). Each term in n-th row divides n!.
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FORMULA
| Given triangle A130461 and deleting the left border (1,1,1,...)take finite differences by columns and reorient into rows.
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EXAMPLE
| First few rows of the triangle A130461 = (1; 1, 1; 1, 1, 1; 1, 1, 2, 1; 1, 1, 2, 3, 1; 1, 1, 2, 6, 4, 1;...). Deleting the left border and taking finite differences at the top of each remaining column, we get the first few rows of triangle A130477:
1;
1, 1;
1, 2, 3;
1, 3, 8, 12;
1, 4, 15, 40, 60;
1, 5, 24, 90, 240, 360,
1, 6, 35, 168, 630, 1680, 2520;
...
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CROSSREFS
| Cf. A130460, A130461, A130476, A130478.
Sequence in context: A121424 A093768 A119011 * A058127 A133935 A139633
Adjacent sequences: A130474 A130475 A130476 * A130478 A130479 A130480
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 28 2007
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