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A288039 Number of compositions (ordered partitions) of n into Lucas numbers (beginning with 1) (A000204). 0
1, 1, 1, 2, 4, 6, 9, 16, 27, 43, 70, 118, 195, 318, 524, 868, 1430, 2351, 3878, 6399, 10542, 17367, 28634, 47206, 77793, 128212, 211346, 348360, 574153, 946342, 1559849, 2571016, 4237616, 6984659, 11512526, 18975464, 31276187, 51550993, 84968944, 140049801, 230836734, 380476447, 627119783, 1033648857 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..43.

Eric Weisstein's World of Mathematics, Lucas Number

Index entries for sequences related to compositions

FORMULA

G.f.: 1/(1 - Sum_{k>=1} x^A000204(k)).

EXAMPLE

a(4) = 4 because we have [4], [3, 1], [1, 3] and [1, 1, 1, 1].

MATHEMATICA

CoefficientList[Series[1/(1 - Sum[x^LucasL[k], {k, 1, 15}]), {x, 0, 43}], x]

CROSSREFS

Cf. A000204, A003263, A067592, A076739, A080888.

Sequence in context: A173241 A096398 A110538 * A244470 A098787 A164138

Adjacent sequences:  A288036 A288037 A288038 * A288040 A288041 A288042

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jun 04 2017

STATUS

approved

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Last modified November 19 02:01 EST 2018. Contains 317332 sequences. (Running on oeis4.)