A051851 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).
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
Offset: 1
Examples
Rows have lengths 1,2,3,5,7,11,15, etc. (A000041(n)). Terms: 1; 2, 4; 3, 6, 21; 4, 8, 12, 32, 156; 5, 10, 15, 45, 50, 260, 1555;
Crossrefs
A subset of A051849.
Programs
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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,partition(n),(n+1))))]; od; RETURN(a); end; # list_in_base given in A051845.
Comments