|
| |
|
|
A068743
|
|
Digitized partition numbers: numbers with (weakly) decreasing digits ordered by sum of their digits then by the numbers themselves.
|
|
1
| |
|
|
0, 1, 2, 11, 3, 21, 111, 4, 22, 31, 211, 1111, 5, 32, 41, 221, 311, 2111, 11111, 6, 33, 42, 51, 222, 321, 411, 2211, 3111, 21111, 111111, 7, 43, 52, 61, 322, 331, 421, 511, 2221, 3211, 4111, 22111, 31111, 211111, 1111111, 8, 44, 53, 62, 71, 332, 422, 431, 521
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| a(97) cannot be written in decimal since it requires ten to be written as a single digit.
|
|
|
LINKS
| Index entries for sequences related to partitions
|
|
|
EXAMPLE
| The partitions of 6 are 6, 5+1, 4+2, 4+1+1, 3+3, 3+2+1, 3+1+1+1, 2+2+2, 2+2+1+1, 2+1+1+1+1, 1+1+1+1+1+1; removing the + signs gives 6, 51, 42, 411, 33, 321, 3111, 222, 2211, 21111, 111111; ordering these by size gives 6, 33, 42, 51, 222, 321, 411, 2211, 3111, 21111, 111111 as part of the sequence.
|
|
|
CROSSREFS
| Cf. A060002 which writes the partitions with smallest digit first, number of values of a(n) with a digit sum of k is A000041, number of values of a(n) with a digit sum of k and m digits is A008284, a(A000070(n))=n+1 written as a single digit, a(A026905(n))=A000042(n).
Sequence in context: A113625 A090323 A127668 * A113736 A073331 A109858
Adjacent sequences: A068740 A068741 A068742 * A068744 A068745 A068746
|
|
|
KEYWORD
| base,nonn
|
|
|
AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Feb 27 2002
|
| |
|
|
