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A321774 Number of compositions of n into parts with distinct multiplicities and with exactly four parts. 2
1, 4, 4, 8, 5, 8, 12, 12, 9, 16, 16, 16, 17, 20, 20, 24, 21, 24, 28, 28, 25, 32, 32, 32, 33, 36, 36, 40, 37, 40, 44, 44, 41, 48, 48, 48, 49, 52, 52, 56, 53, 56, 60, 60, 57, 64, 64, 64, 65, 68, 68, 72, 69, 72, 76, 76, 73, 80, 80, 80, 81, 84, 84, 88, 85, 88, 92 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 4..1000

FORMULA

Conjectures from Colin Barker, Dec 11 2018: (Start)

G.f.: x^4*(1 + 4*x + 4*x^2 + 7*x^3) / ((1 - x)^2*(1 + x)*(1 + x^2)*(1 + x + x^2)).

a(n) = a(n-3) + a(n-4) - a(n-7) for n>10.

(End)

CROSSREFS

Column k=4 of A242887.

Sequence in context: A339756 A163369 A290841 * A254267 A028266 A275982

Adjacent sequences:  A321771 A321772 A321773 * A321775 A321776 A321777

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 18 2018

STATUS

approved

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Last modified June 19 02:43 EDT 2021. Contains 345125 sequences. (Running on oeis4.)