A256977 G.f.: (1 + 5*x + 5*x^2 + x^3)/Product_{i=1..10} (1 - x^i).

1, 6, 12, 19, 31, 49, 74, 110, 159, 226, 317, 437, 590, 789, 1043, 1364, 1769, 2275, 2899, 3670, 4612, 5758, 7145, 8814, 10812, 13202, 16040, 19396, 23354, 28006, 33447, 39801, 47188, 55753, 65659, 77083, 90216, 105288, 122530, 142211

Offset

0,2

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(t) at the foot of page 123.

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2, -1, 1, -1, 0, 0, -1, 1, -1, 1, -2, 3, -2, 3, -1, 1, -1, 0, -1, 0, -1, -2, 2, -2, 3, -2, 4, -2, 3, -2, 2, -2, -1, 0, -1, 0, -1, 1, -1, 3, -2, 3, -2, 1, -1, 1, -1, 0, 0, -1, 1, -1, 2, -1).

Maple

(1+5*x+5*x^2+x^3)/mul(1-x^i, i=1..10);

Crossrefs

Sequence in context: A215342 A146923 A349791 * A087883 A218438 A162416

Adjacent sequences: A256974 A256975 A256976 * A256978 A256979 A256980

Keyword

nonn

Author

N. J. A. Sloane, Apr 23 2015

Status

approved