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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. 17
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

Table of n, a(n) for n=1..19.

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

a(n)=27*7^n-81*6^n+108*5^n-81*4^n+36*3^n-9*2^n+1.

EXAMPLE

a(8)=56713708

MAPLE

f:=n->27*7^n-81*6^n+108*5^n-81*4^n+36*3^n-9*2^n+1;

CROSSREFS

Cf. A125630.

Sequence in context: A231157 A231163 A136858 * A121084 A171284 A125897

Adjacent sequences:  A125945 A125946 A125947 * A125949 A125950 A125951

KEYWORD

nonn,base

AUTHOR

Aleksandar M. Janjic and Milan Janjic, Feb 04 2007

STATUS

approved

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Last modified October 24 23:54 EDT 2014. Contains 248516 sequences.