login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A290327 Total number of parts in all partitions of n into distinct Lucas numbers (beginning with 1) (A000204). 0
1, 0, 1, 3, 2, 0, 3, 5, 0, 2, 6, 5, 0, 5, 9, 3, 0, 6, 9, 0, 5, 12, 7, 0, 9, 12, 0, 3, 10, 9, 0, 9, 17, 7, 0, 12, 16, 0, 7, 18, 12, 0, 12, 18, 4, 0, 10, 14, 0, 9, 21, 12, 0, 17, 22, 0, 7, 21, 16, 0, 16, 27, 9, 0, 18, 23, 0, 12, 27, 15, 0, 18, 22, 0, 4, 15, 14, 0, 14, 27, 12, 0, 21, 27, 0, 12, 32, 22, 0, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
FORMULA
G.f.: Sum_{i>=1} x^A000204(i)/(1 + x^A000204(i))*Product_{j>=1} (1 + x^A000204(j)).
EXAMPLE
a(8) = 5 because we have [7, 1], [4, 3, 1] and 2 + 3 = 5.
MATHEMATICA
nmax = 90; Rest[CoefficientList[Series[Sum[x^LucasL[i]/(1 + x^LucasL[i]) Product[(1 + x^LucasL[j]), {j, 1, nmax}], {i, 1, nmax}], {x, 0, nmax}], x]]
CROSSREFS
Sequence in context: A114907 A278499 A231132 * A131732 A307681 A331922
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jul 27 2017
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)