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 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 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

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