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A092881 Number of ordered 3-multiantichains on an n-set. 4
1, 2, 10, 74, 730, 8282, 92170, 959114, 9359290, 86810042, 775127530, 6729173354, 57217937050, 479099439002, 3966035935690, 32552638110794, 265489098246010, 2154919024055162, 17428334622452650, 140575105877211434 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (28,-315,1820,-5684,9072,-5760).

FORMULA

a(n) = 8^n - 6*6^n + 6*5^n + 6*4^n - 12*3^n + 6*2^n.

G.f.: -(4752*x^5-3852*x^4+1396*x^3-269*x^2+26*x-1) / ((2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(8*x-1)). - Colin Barker, Dec 10 2012

MATHEMATICA

Table[8^n - 6*6^n + 6*5^n + 6*4^n - 12*3^n + 6*2^n, {n, 0, 50}] (* G. C. Greubel, Oct 07 2017 *)

PROG

(PARI) for(n=0, 50, print1(8^n - 6*6^n + 6*5^n + 6*4^n - 12*3^n + 6*2^n , ", ")) \\ G. C. Greubel, Oct 07 2017

(MAGMA) [8^n - 6*6^n + 6*5^n + 6*4^n - 12*3^n + 6*2^n: n in [0..50]]; // G. C. Greubel, Oct 07 2017

CROSSREFS

Cf. A092880, A092882-A092884.

Sequence in context: A185971 A000698 A289313 * A004123 A086352 A005365

Adjacent sequences:  A092878 A092879 A092880 * A092882 A092883 A092884

KEYWORD

nonn,easy

AUTHOR

Goran Kilibarda, Vladeta Jovovic, Mar 10 2004

STATUS

approved

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Last modified February 24 23:02 EST 2018. Contains 299629 sequences. (Running on oeis4.)