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A055995 a(n) = 64*9^(n-2), a(0)=1, a(1)=7. 2
1, 7, 64, 576, 5184, 46656, 419904, 3779136, 34012224, 306110016, 2754990144, 24794911296, 223154201664, 2008387814976, 18075490334784, 162679413013056, 1464114717117504, 13177032454057536, 118593292086517824 (list; graph; refs; listen; history; text; internal format)



For n>=2, a(n) is equal to the number of functions f:{1,2,...,n}->{1,2,3,4,5,6,7,8,9} such that for fixed, different x_1, x_2 in {1,2,...,n} and fixed y_1, y_2 in {1,2,3,4,5,6,7,8,9} we have f(x_1)<>y_1 and f(x_2)<> y_2. - Milan Janjic, Apr 19 2007

a(n) is the number of generalized compositions of n when there are 8*i-1 different types of i, (i=1,2,...). - Milan Janjic, Aug 26 2010


A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.


Table of n, a(n) for n=0..18.

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

Index entries for linear recurrences with constant coefficients, signature (9)


a(n) = 9a(n-1) + ((-1)^n)*C(2, 2-n).

G.f.: (1-x)^2/(1-9x).

a(n) = Sum_{k, 0<=k<=n} A201780(n,k)*7^k. - Philippe Deléham, Dec 05 2011


Second differences of 9^n (A001019). Cf. A055275.

Sequence in context: A333991 A159617 A098307 * A301424 A288690 A213515

Adjacent sequences:  A055992 A055993 A055994 * A055996 A055997 A055998




Barry E. Williams, Jun 04 2000



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Last modified December 3 21:17 EST 2021. Contains 349468 sequences. (Running on oeis4.)