|
Search: id:A097939
|
|
|
| A097939 |
|
Sum of smallest parts of all compositions of n. |
|
+0
3
|
|
| 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; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Sums of anti-diagonals of A099238. - Paul Barry (pbarry(AT)wit.ie), Oct 08 2004
|
|
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
|
|
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)
|
|
CROSSREFS
|
Cf. A046746, A092309.
Adjacent sequences: A097936 A097937 A097938 this_sequence A097940 A097941 A097942
Sequence in context: A066982 A018078 A005404 this_sequence A162506 A055244 A089068
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 05 2004
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004
|
|
|
Search completed in 0.002 seconds
|
