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A290248 Number of partitions of the n-th Lucas number into Lucas parts (beginning with 1) (A000204). 0
1, 2, 3, 6, 13, 39, 147, 755, 5230, 50282, 677730, 13010007, 359551127, 14457741910, 853120090801, 74437567936635, 9666377127590346, 1878877762201043122, 549363336929733878734, 242695457366120511255070, 16263199149257162654631846 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

Index entries for related partition-counting sequences

FORMULA

a(n) = [x^A000204(n)] Product_{k>=1} 1/(1 - x^A000204(k)).

a(n) = A067592(A000204(n)).

EXAMPLE

a(4) = 6 because Lucas(4) = 7 and we have [7], [4, 3], [4, 1, 1, 1], [3, 3, 1], [3, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1].

MATHEMATICA

Rest[Table[SeriesCoefficient[Product[1/(1 - x^LucasL[k]), {k, 1, n}], {x, 0, LucasL[n]}], {n, 0, 21}]]

CROSSREFS

Cf. A000204, A003263, A067592, A098641.

Sequence in context: A065845 A137273 A135967 * A146000 A134737 A030733

Adjacent sequences:  A290245 A290246 A290247 * A290249 A290250 A290251

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 24 2017

STATUS

approved

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Last modified April 22 21:39 EDT 2018. Contains 302916 sequences. (Running on oeis4.)