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Search: id:A104778
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| A104778 |
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Table of values with shape sequence A000041 related to involutions and multinomials. |
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+0
3
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| 1, 1, 1, 2, 1, 2, 4, 1, 2, 3, 5, 10, 1, 2, 3, 5, 7, 13, 26, 1, 2, 3, 4, 5, 8, 11, 14, 20, 38, 76, 1, 2, 3, 4, 5, 8, 10, 13, 14, 23, 33, 42, 60, 116, 232, 1, 2, 3, 4, 5, 5, 8, 11, 14, 17, 14, 24, 30, 40
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OFFSET
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0,4
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EXAMPLE
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The 47 multinomials can be distributed as in the following triangular array:
1
9 1
4 6 1
9 2 3 1
1 3 2 3 1
divide each term by
1
3 1
2 3 1
3 2 3 1
1 3 2 3 1
yielding
1
3 1
2 2 1
3 1 1 1
1 1 1 1 1
with column sums 10 5 3 2 1
therefore the fourth row of the table is 1 2 3 5 10
The initial rows are 1; 1; 1,2; 1,2,4; 1,2,3,5,10; 1,2,3,5,7,13,26; ...
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CROSSREFS
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Cf. A000041, A000085, A005651, A036038, A097522, A104707, A104778.
A001475 and A000085 are subsequences.
Sequence in context: A132082 A129644 A081517 this_sequence A081532 A141539 A131074
Adjacent sequences: A104775 A104776 A104777 this_sequence A104779 A104780 A104781
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KEYWORD
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nonn,tabf
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Mar 24 2005
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