This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A055996 #20 Nov 20 2015 15:30:13 %S A055996 1,8,81,810,8100,81000,810000,8100000,81000000,810000000,8100000000, %T A055996 81000000000,810000000000,8100000000000,81000000000000, %U A055996 810000000000000,8100000000000000,81000000000000000,810000000000000000 %N A055996 a(n) = 81*10^(n-2), a(0)=1, a(1)=8. %C A055996 For n>=2, a(n) is equal to the number of functions f:{1,2,...,n}->{1,2,3,4,5,6,7,8,9,10} such that for fixed, different x_1, x_2 in {1,2,...,n} and fixed y_1, y_2 in {1,2,3,4,5,6,7,8,9,10} we have f(x_1)<>y_1 and f(x_2)<> y_2. - _Milan Janjic_, Apr 19 2007 %C A055996 a(n) is the number of generalized compositions of n when there are 9*i-1 different types of i, (i=1,2,...). - _Milan Janjic_, Aug 26 2010 %D A055996 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196. %H A055996 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Enumerative Formulas for Some Functions on Finite Sets</a> %H A055996 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (10) %F A055996 a(n)=10a(n-1)+[(-1)^n]*C(2, 2-n). G.f.(x)=(1-x)^2/(1-10x). %F A055996 a(n) = Sum_{k, 0<=k<=n} A201780(n,k)*8^k. - _Philippe Deléham_, Dec 05 2011 %t A055996 Join[{1,8},NestList[10#&,81,20]] (* _Harvey P. Dale_, Nov 20 2015 *) %Y A055996 Second differences of 10^n (A011557). Cf. A052268. %K A055996 easy,nonn %O A055996 0,2 %A A055996 _Barry E. Williams_, Jun 04 2000