

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
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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^n81*6^n+108*5^n81*4^n+36*3^n9*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^n81*6^n+108*5^n81*4^n+36*3^n9*2^n+1;


PROG

(PARI) vector(100, n, 27*7^n81*6^n+108*5^n81*4^n+36*3^n9*2^n+1) \\ Colin Barker, Feb 23 2015


CROSSREFS

Cf. A125630.
Sequence in context: A231157 A231163 A136858 * A121084 A171284 A125897
Adjacent sequences: A125945 A125946 A125947 * A125949 A125950 A125951


KEYWORD

nonn,base,easy


AUTHOR

Aleksandar M. Janjic and Milan Janjic, Feb 04 2007


STATUS

approved



