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Search: id:A092674
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| A092674 |
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Derived from a(n)=binomial(n+1,2) - sum{i=1,n-1,a(i)*floor(n/i)} (see A000010) - this is the value of the constant term. |
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+0
6
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| 0, 3, 3, 1, 5, 0, 7, 4, 6, 2, 11, 5, 13, 4, 7, 8, 17, 6, 19, 9, 11, 8, 23, 8, 20, 10, 18, 13, 29, 10, 31, 16, 19, 14, 23, 12, 37, 16, 23, 16, 41, 14, 43, 21, 24, 20, 47, 16, 42, 20, 31, 25, 53, 18, 39, 24, 35, 26, 59, 15, 61, 28, 36, 32, 47, 22, 67, 33, 43, 26, 71, 24, 73, 34, 40
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It is conjectured that a(n) is never less than 0 (tested to n=2000)
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EXAMPLE
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The formula produces the initial output:
x, -2*x + 3, -x + 3, x + 1, -x + 5, 2*x, -x + 7, 4, 6, 2*x + 2, -x + 11, -x + 5, -x + 13, 2*x + 4, x + 7, 8, -x + 17, 6, -x + 19, -x + 9, x + 11, 2*x + 8, -x + 23, 8, 20, 2*x + 10, 18, -x + 13, -x + 29, -2*x + 10, -x + 31, 16, x + 19.
The sequence gives the constant term.
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PROGRAM
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(PARI) s=vector(200); t(n)=binomial(n+1, 2); s[1]=x; for(i=2, 200, s[i]=t(i)-sum(j=1, i-1, s[j]*floor(i/j))); for(i=1, 200, print1(", "polcoeff(s[i], 0)))
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CROSSREFS
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Cf. A092673.
Sequence in context: A137919 A079081 A111408 this_sequence A111945 A002143 A039739
Adjacent sequences: A092671 A092672 A092673 this_sequence A092675 A092676 A092677
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Mar 02 2004
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