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Search: id:A112996
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| A112996 |
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A table distributing the values 1 2 5 14 43 144 523 2048 38486 182905 ... A047970 based on row sums of sub-tables counting permutations of partitions. |
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1
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| 1, 1, 1, 1, 3, 1, 1, 7, 4, 2, 1, 15, 12, 10, 5, 1, 31, 32, 36, 30, 14, 1, 63, 80, 112, 124, 100, 43, 1, 127, 192, 320, 432, 472, 360, 144, 1, 255, 448, 864, 1360, 1832, 1924, 1390, 523, 1, 511, 1024, 2240, 3958, 6320, 8280
(list; table; graph; listen)
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OFFSET
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1,5
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COMMENT
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The next diagonal, 2 10 36 112 320 864 2240 ... is 1 4 12 32 80 192 448 ... plus 1 6 24 80 240 672 1792 ...
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EXAMPLE
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The table begins
1
1 1
1 3 1
1 7 4 2
1 15 12 10 5
1 31 32 36 30 14
the third diagonal is 1 4 12 32 80 192 448 ... A001787 which, in turn,
is the row sum of the below table
1
2 2
3 6 3
4 12 12 4
5 20 30 20 5
which counts the permutations of
3; 32, 31; 322, 321, 311; 3222, 3221, 3211, 3111; etc.
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CROSSREFS
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Cf. A047969, A047970.
Sequence in context: A140068 A121300 A128119 this_sequence A136621 A108625 A118801
Adjacent sequences: A112993 A112994 A112995 this_sequence A112997 A112998 A112999
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KEYWORD
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easy,nonn,tabl,uned
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Nov 03 2005
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