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Search: id:A068743
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| A068743 |
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Digitized partition numbers: numbers with (weakly) decreasing digits ordered by sum of their digits then by the numbers themselves. |
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+0
2
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| 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; listen)
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OFFSET
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0,3
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COMMENT
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a(97) cannot be written in decimal since it requires ten to be written as a single digit.
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LINKS
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Index entries for sequences related to partitions
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EXAMPLE
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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.
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CROSSREFS
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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 this_sequence A113736 A073331 A109858
Adjacent sequences: A068740 A068741 A068742 this_sequence A068744 A068745 A068746
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 27 2002
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