login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A300414 Expansion of Product_{k>=2} (1 + x^Fibonacci(k))/(1 - x^Fibonacci(k)). 1
1, 2, 4, 8, 12, 20, 30, 42, 62, 84, 114, 154, 198, 260, 332, 418, 530, 654, 810, 994, 1202, 1462, 1752, 2094, 2500, 2948, 3486, 4092, 4776, 5582, 6468, 7490, 8650, 9928, 11406, 13036, 14862, 16934, 19196, 21758, 24592, 27706, 31216, 35038, 39284, 43990, 49100, 54798, 61008, 67798 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Convolution of the sequences A000119 and A003107.

LINKS

Table of n, a(n) for n=0..49.

Index entries for related partition-counting sequences

FORMULA

G.f.: Product_{k>=2} (1 + x^A000045(k))/(1 - x^A000045(k)).

MATHEMATICA

nmax = 49; CoefficientList[Series[Product[(1 + x^Fibonacci[k])/(1 - x^Fibonacci[k]), {k, 2, 20}], {x, 0, nmax}], x]

CROSSREFS

Cf. A000045, A000119, A003107, A015128, A080054, A103265, A280263, A280366, A300413, A300415.

Sequence in context: A263615 A303748 A173725 * A307732 A103258 A100684

Adjacent sequences:  A300411 A300412 A300413 * A300415 A300416 A300417

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 05 2018

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 15 02:02 EDT 2021. Contains 345042 sequences. (Running on oeis4.)