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Search: id:A071415
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| A071415 |
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Maximal m so that all numbers in [0,m] are expressible as a*b+c with a+c<=n, b<=n and a,b,c natural numbers. |
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+0
1
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| 1, 4, 7, 10, 17, 22, 32, 38, 51, 66, 75, 93, 113, 124, 147, 172, 199, 214, 244, 276, 310, 328, 365, 404, 445, 488, 511, 557, 605, 655, 707, 734, 789, 846, 905, 966, 1029, 1062, 1128, 1196, 1266, 1338, 1412, 1450, 1527, 1606, 1687, 1770, 1855, 1942, 1987, 2077
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n)/n^2 seems to tend to 1 as n tends to infinity.
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EXAMPLE
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a(3)=3 because 1=0*3+1, 2=0*3+2, 3=0*3+3, 4=1*3+1, 5=1*3+2, 6=2*3+0, 7=2*3+1 and 8 is not expressible in that form.
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CROSSREFS
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Sequence in context: A003461 A023375 A119249 this_sequence A103408 A088408 A027752
Adjacent sequences: A071412 A071413 A071414 this_sequence A071416 A071417 A071418
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KEYWORD
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nonn
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AUTHOR
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Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), May 29 2002
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