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Search: id:A051851
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| A051851 |
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Table in which n-th row gives all partitions of n interpreted in base n+1. (A subset of A051849 with each term having a non-descending digit-sequence in base n+1). |
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+0
3
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| 1, 2, 4, 3, 6, 21, 4, 8, 12, 32, 156, 5, 10, 15, 45, 50, 260, 1555, 6, 12, 18, 24, 60, 66, 114, 402, 408, 2802, 19608, 7, 14, 21, 28, 77, 84, 91, 147, 588, 595, 658, 4683, 4690, 37450, 299593, 8, 16, 24, 32, 40, 96, 104, 112, 184, 192, 824, 832, 840, 912, 1640
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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All terms on row n divisible by n (see A051852).
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EXAMPLE
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Rows have lengths 1,2,3,5,7,11,15, etc. (A000041(n+1)). Terms: 1; 2, 4; 3, 6, 21; 4, 8, 12, 32, 156; 5, 10, 15, 45, 50, 260, 1555;
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MAPLE
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with(combinat); rows_upto_u := proc(u) local a, n; a := []; for n from 1 to u do a := [op(a), op(sort(map(list_in_base_b, partition(n), (n+1))))]; od; RETURN(a); end; # list_in_base given in A051845.
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CROSSREFS
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A subset of A051849.
Sequence in context: A091274 A122525 A054589 this_sequence A011171 A007203 A110412
Adjacent sequences: A051848 A051849 A051850 this_sequence A051852 A051853 A051854
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KEYWORD
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easy,nonn,tabf
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AUTHOR
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Antti Karttunen Dec 13 1999
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