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A256976
G.f.: (1 + x^4 - x^5 - x^6 - x^10 - x^11 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).
6
1, 1, 2, 3, 6, 7, 11, 15, 22, 28, 38, 47, 64, 77, 99, 120, 152, 179, 221, 260, 316, 367, 439, 506, 600, 685, 800, 910, 1056, 1190, 1368, 1536, 1753, 1957, 2217, 2464, 2778, 3073, 3441, 3795, 4232, 4645, 5155, 5643, 6237, 6804, 7489
OFFSET
0,3
REFERENCES
J. C. P. Miller, On the enumeration of partially ordered sets of integers, pp. 109-124 of T. P. McDonough and V. C. Mavron, editors, Combinatorics: Proceedings of the Fourth British Combinatorial Conference 1973. London Mathematical Society, Lecture Note Series, Number 13, Cambridge University Press, NY, 1974. The g.f. is G_{ref}(t) on page 122, corrected. (The version of G_{ref}(t) stated on page 122 gives A256975, which does not match the terms on page 123.)
LINKS
Index entries for linear recurrences with constant coefficients, signature (-1,0,1,2,2,2,1,0,-2,-4,-5,-4,-2,0,3,5,6,5,3,0,-2,-4,-5,-4,-2,0,1,2,2,2,1,0,-1,-1).
FORMULA
a(n) = floor(67/4838400*n^5 + 67/96768*n^4 + 2371/181440*n^3 + 29/252*n^2 + 170839/362880*n + 12232033/12700800 - (n mod 2)*(1/4608*n^3 + 5/768*n^2 + 223/3072*n) + (((n+1) mod 3) - (n mod 3))*n/162 + (((n+2) mod 4) + ((n+3) mod 4) - ((n+1) mod 4) - (n mod 4))*n*3/512 + (((n+3) mod 4) - (n mod 4))/8). - Hoang Xuan Thanh, Jun 07 2026
MAPLE
(1+x^4-x^5-x^6-x^10-x^11+x^12+x^16)/mul(1-x^i, i=1..8);
CROSSREFS
Cf. A256975.
Sequence in context: A363046 A049196 A284743 * A179019 A096578 A027754
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 22 2015
STATUS
approved