# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a126631 Showing 1-1 of 1 %I A126631 #18 Oct 14 2016 17:23:12 %S A126631 9,77,633,5021,38409,283277,2019033,13963901,94144809,621444077, %T A126631 4031587833,25787305181,163054382409,1021372934477,6349128459033, %U A126631 39222102764861,241061530639209,1475385002210477,8998880800344633,54732125638998941 %N A126631 a(n) is the number of nonnegative integers k less than 10^n such that the decimal representation of k lacks the digit 1, at least one of digits 2,3, at least one of digits 4,5 and at least one of digits 6,7,8,9. %H A126631 Colin Barker, Table of n, a(n) for n = 1..1000 %H A126631 Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets %H A126631 Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720). %F A126631 a(n) = 16*6^n-40*5^n+44*4^n-26*3^n+8*2^n-1. %F A126631 G.f.: -x*(720*x^5-1764*x^4+1412*x^3-591*x^2+112*x-9) / ((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)). - _Colin Barker_, Feb 22 2015 %e A126631 a(8) = 13963901. %p A126631 f:=n->16*6^n-40*5^n+44*4^n-26*3^n+8*2^n-1; %t A126631 LinearRecurrence[{21,-175,735,-1624,1764,-720},{9,77,633,5021,38409,283277},30] (* _Harvey P. Dale_, Oct 14 2016 *) %o A126631 (PARI) Vec(-x*(720*x^5-1764*x^4+1412*x^3-591*x^2+112*x-9)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)) + O(x^100)) \\ _Colin Barker_, Feb 22 2015 %Y A126631 Cf. A125630, A125948, A125947, A125946, A125945, A125910, A125909, A125908, A125880, A125897, A125904, A125858. %K A126631 nonn,base,easy %O A126631 1,1 %A A126631 Aleksandar M. Janjic and _Milan Janjic_, Feb 08 2007 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE