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Search: id:A051849
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| A051849 |
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Table in which n-th row gives all compositions of n interpreted as digits in base n+1. |
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+0
3
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| 1, 2, 4, 3, 6, 9, 21, 4, 8, 12, 16, 32, 36, 56, 156, 5, 10, 15, 20, 25, 45, 50, 55, 80, 85, 115, 260, 265, 295, 475, 1555, 6, 12, 18, 24, 30, 36, 60, 66, 72, 78, 108, 114, 120, 156, 162, 204, 402, 408, 414, 450, 456, 498, 744, 750, 792, 1086, 2802, 2808, 2850, 3144
(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 are divisible by n. See A051850.
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EXAMPLE
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n-th row has length 2^(n-1) (A000079[n-1]) 1; 2, 4; 3, 6, 9, 21; 4, 8, 12, 16, 32, 36, 56, 156; 3 can be written as sum like 3, or 1+2 or 2+1 or 1+1+1. Numbers 3, 12, 21 and 111 interpreted in base 4 give the third row of table: 3,6,9,21
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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, map(op, map(permute, partition(n))), (n+1))))]; od; RETURN(a); end; # list_in_base_b given in A051845.
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CROSSREFS
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Cf. A051850, A051851, ...
Cf. A124734.
Sequence in context: A095167 A075383 A113233 this_sequence A083673 A131388 A131393
Adjacent sequences: A051846 A051847 A051848 this_sequence A051850 A051851 A051852
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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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EXTENSIONS
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Definition corrected by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 20 2006
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