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Search: id:A128610
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| A128610 |
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a(0)=a(1)=1. For n>=2, a(n) = a(n-2) + a(n-1) + (number of terms from among {a(0),a(1),a(2),...a(n-1)} which are <= n). |
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+0
2
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| 1, 1, 4, 7, 14, 24, 41, 69, 114, 187, 305, 496, 805, 1305, 2115, 3425, 5545, 8975, 14525, 23505, 38035, 61545, 99585, 161135, 260726, 421867, 682599, 1104472, 1787077, 2891555, 4678638, 7570199, 12248843, 19819048, 32067897, 51886951, 83954854
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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There are 4 terms among the terms {a(0),a(1),a(2),...a(8)} which are <= 9. So a(9) = a(7) + a(8) + 4 = 69 + 114 + 4 = 187.
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MAPLE
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a[0]:=1:a[1]:=1: for n from 2 to 42 do ct:=2: for j from 2 to n-1 do if a[j]<=n then ct:=ct+1 else fi od: a[n]:=a[n-1]+a[n-2]+ct od: seq(a[n], n=0..42); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 09 2007
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CROSSREFS
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Sequence in context: A048241 A003404 A139025 this_sequence A094968 A049946 A076975
Adjacent sequences: A128607 A128608 A128609 this_sequence A128611 A128612 A128613
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet May 08 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 09 2007
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