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A097939
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Sum of smallest parts of all compositions of n.
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3
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1, 3, 6, 12, 22, 42, 79, 151, 291, 566, 1106, 2175, 4293, 8499, 16864, 33523, 66727, 132958, 265137, 529050, 1056169, 2109282, 4213710, 8419697, 16827079, 33634489, 67237513, 134424624, 268768414, 537407062, 1074605619, 2148875961
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Sums of anti-diagonals of A099238. - Paul Barry (pbarry(AT)wit.ie), Oct 08 2004
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FORMULA
| G.f.: Sum(x^k/(1-x-x^k), k=1..infinity).
a(n)=sum{r=0..n, sum{k=0..floor((n-r)/(r+1)), binomial(n-r(k+1), k)}} - Paul Barry (pbarry(AT)wit.ie), Oct 08 2004
G.f.: (1-x)^2*Sum(k*x^k/((x^k+x-1)*(x^(k+1)+x-1)),k=1..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 23 2006
G.f.: Sum(x^k/((1-x)^k*(1-x^k)),k=1..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 02 2008
G.f.: sum(n>=1, a*z^n/(1-a*z^n) (generalized Lambert series) where z=x and a=1/(1-x) - Joerg Arndt, Jan 30 2011
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MATHEMATICA
| Drop[ CoefficientList[ Series[ Sum[x^k/(1 - x - x^k), {k, 50}], {x, 0, 35}], x], 1] (from Robert G. Wilson v Sep 08 2004)
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CROSSREFS
| Cf. A046746, A092309.
Sequence in context: A179906 A018078 A005404 * A174201 A181844 A162506
Adjacent sequences: A097936 A097937 A097938 * A097940 A097941 A097942
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 05 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004
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