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Search: id:A097482
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| A097482 |
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a(1) = 1, a(2) = 1, a(n) = floor(sqrt(a(n-2)*a(n-1))) + 3 for n > 2. |
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+0
1
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| 1, 1, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 58, 59, 61, 62, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77, 79, 80, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98, 100
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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lim n->inf a(n)/n = 1.5 (if a(1) and a(2) are set to other nonnegative numbers the limit is still 1.5). This limit is a step function of the added constant (3->1.5 in this case) whose values at positive integers are 1, 1, 1.5, 2, 3, 3.5, 4, 5, 5.5 etc.
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MAPLE
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lincom:=proc(a, b, n) local i, j, s, m; s:={}; for i from 0 to n do for j from 0 to n do m:=a*i+b^j; if m<=n then s:={op(s), m} fi od; od; lprint(sort([op(s)])); end: lincom(3, 5, 100); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 24 2007
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CROSSREFS
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Sequence in context: A080712 A005048 A119642 this_sequence A032728 A078577 A037259
Adjacent sequences: A097479 A097480 A097481 this_sequence A097483 A097484 A097485
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KEYWORD
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nonn
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AUTHOR
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Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Sep 19 2004
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