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 A125948 a(n) is the number of nonnegative integers k less than 10^n such that the decimal representation of k lacks at least one of digits 1,2,3, at least one of digits 4,5,6 and at least one of digits 7,8,9. 19
 10, 100, 982, 9388, 86950, 778780, 6748822, 56713708, 463661830, 3700940860, 28941318262, 222422713228, 1684544507110, 12602134130140, 93308618633302, 684912371803948, 4990975002030790, 36147245625290620, 260449744313893942 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets Index entries for linear recurrences with constant coefficients, signature (28,-322,1960,-6769,13132,-13068,5040). FORMULA a(n) = 27*7^n-81*6^n+108*5^n-81*4^n+36*3^n-9*2^n+1. G.f.: -2*x*(2520*x^6 -6012*x^5 +5990*x^4 -2754*x^3 +701*x^2 -90*x +5) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(5*x -1)*(6*x -1)*(7*x -1)). - Colin Barker, Feb 23 2015 MAPLE f:=n->27*7^n-81*6^n+108*5^n-81*4^n+36*3^n-9*2^n+1; PROG (PARI) vector(100, n, 27*7^n-81*6^n+108*5^n-81*4^n+36*3^n-9*2^n+1) \\ Colin Barker, Feb 23 2015 CROSSREFS Cf. A125630. Sequence in context: A231157 A231163 A136858 * A121084 A272501 A171284 Adjacent sequences:  A125945 A125946 A125947 * A125949 A125950 A125951 KEYWORD nonn,base,easy AUTHOR Aleksandar M. Janjic and Milan Janjic, Feb 04 2007 STATUS approved

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