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Search: id:A140609
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| A140609 |
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Numbers never equal to the number of partitions of any p into k parts (2<k<=n). |
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+0
1
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| 17, 25, 31, 32, 36, 43, 45, 46, 50, 51, 53, 59, 60, 62, 63, 66, 67, 68, 69, 74, 78, 79, 81, 83, 86, 87, 88, 92, 93, 95, 98
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) is the least number greater than a(n-1) which never occurs in the sequence S(p,q) {p;0;infinity}{k;3;p).
Any number q appears twice for k =2 as S(2*q,2) and S(2*q+1,2)
For k >2 the smallest values of natural numbers appear for first time as follows for inceasing p:
1=S(3,3)
2=S(5,3)
3=S(6,3)
4=S(7,3)
5=S(8,3)
6=S(9,4)
7=S(9,3)
8=S(10,3)
9=S(10,4)
10=S(11,3)
11=S(11,4)
12=S(12,3)
13=S(12,5)
14=S(13,3)
15=S(12,4)
16=S(14,3)
18=S(13,4)
17 never occurs, hence a(1) = 17
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CROSSREFS
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Cf. A000041; A002865.
Sequence in context: A124971 A105448 A082130 this_sequence A131275 A166666 A147445
Adjacent sequences: A140606 A140607 A140608 this_sequence A140610 A140611 A140612
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KEYWORD
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easy,nonn
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AUTHOR
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Philippe Lallouet (philip.lallouet(AT)orange.fr), May 18 2008
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