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A051849
Table in which n-th row gives all compositions of n interpreted as digits in base n+1.
2
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
OFFSET
1,2
COMMENTS
All terms on row n are divisible by n. See A051850.
EXAMPLE
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
MAPLE
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.
CROSSREFS
Cf. A051850, A051851, ...
Cf. A124734.
Sequence in context: A332878 A376903 A113233 * A283961 A333029 A175498
KEYWORD
easy,nonn,tabf,base
AUTHOR
Antti Karttunen, Dec 13 1999
EXTENSIONS
Definition corrected by Franklin T. Adams-Watters, Nov 20 2006
STATUS
approved