login
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
OFFSET
5,2
LINKS
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: A366419 A309620 A291794 * A166621 A330082 A160275
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Nov 18 2018
STATUS
approved