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A321775 Number of compositions of n into parts with distinct multiplicities and with exactly five parts. 2
1, 5, 15, 15, 20, 6, 30, 20, 35, 35, 21, 35, 50, 40, 50, 36, 55, 55, 65, 55, 56, 70, 70, 70, 85, 61, 85, 85, 90, 90, 86, 90, 105, 105, 105, 91, 120, 110, 120, 120, 111, 125, 135, 125, 140, 126, 140, 140, 155, 145, 141, 155, 160, 160, 170, 146, 175, 175, 175 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..1000

FORMULA

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

G.f.: x^5*(1 + 6*x + 21*x^2 + 35*x^3 + 49*x^4 + 34*x^5 + 29*x^6) / ((1 - x)^2*(1 + x)*(1 + x^2)*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)).

a(n) = -a(n-1) - a(n-2) + a(n-4) + 2*a(n-5) + 2*a(n-6) + a(n-7) - a(n-9) - a(n-10) - a(n-11) for n>15.

(End)

CROSSREFS

Column k=5 of A242887.

Sequence in context: A298265 A309620 A291794 * A166621 A330082 A160275

Adjacent sequences:  A321772 A321773 A321774 * A321776 A321777 A321778

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 18 2018

STATUS

approved

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Last modified June 24 23:16 EDT 2021. Contains 345445 sequences. (Running on oeis4.)