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A144328
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A002260 preceded by a column of 1's: a (1, 1, 2, 3, 4, 5,...) crescendo triangle by rows.
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12
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1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 4, 1, 1, 2, 3, 4, 5, 1, 1, 2, 3, 4, 5, 6, 1, 1, 2, 3, 4, 5, 6, 7, 1, 1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| Row sums = A000124: (1, 2, 4, 7, 11, 16, 22, 29,...).
Eigensequence of the triangle = A000142, the factorials.
The triangle as an infinite lower triangular matrix * [1,2,3,...] = A064999: (1, 3, 9, 21, 41, 113,...).
Generated from A128227 by rotating each row by one position to the right. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 25 2008]
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FORMULA
| Triangle A002260 (natural numbers crescendo triangle) preceded by a column of 1's, = a (1, 1, 2, 3, 4, 5,...) crescendo triangle by rows.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
1, 1, 2;
1, 1, 2, 3;
1, 1, 2, 3, 4;
1, 1, 2, 3, 4, 5;
...
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CROSSREFS
| A002260, Cf. A000124, A000142, A064999
Sequence in context: A124769 A128227 A176484 * A140207 A104763 A027751
Adjacent sequences: A144325 A144326 A144327 * A144329 A144330 A144331
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008
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EXTENSIONS
| Corrected typo in "Row sums" sequence in line 1 of Comments Field; entered 29 for 19 C. H. Reynolds (chreynolds(AT)comcast.net), Sep 27 2010
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