A051851 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

All terms on row n are divisible by n (see A051852).

LINKS

Table of n, a(n) for n=1..59.

EXAMPLE

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;

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.

CROSSREFS

A subset of A051849.

Sequence in context: A330745 A122525 A054589 * A336165 A011171 A181049

Adjacent sequences: A051848 A051849 A051850 * A051852 A051853 A051854

KEYWORD

easy,nonn,tabf,base

AUTHOR

Antti Karttunen, Dec 13 1999

STATUS

approved