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A125946 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, at least one of digits 3,4,5 and at least one of digits 6,7,8,9. 18
10, 98, 940, 8798, 80140, 709238, 6096100, 50950718, 415060060, 3305238278, 25807024660, 198131841038, 1499550640780, 11213044626518, 82997777543620, 609099122145758, 4437879770746300, 32138240678881958, 231547934781860980, 1661033550903240878 (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) = 24*7^n-72*6^n+98*5^n-76*4^n+35*3^n-9*2^n+1.

G.f.: -2*x*(2520*x^6 -6042*x^5 +6043*x^4 -2783*x^3 +708*x^2 -91*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->24*7^n-72*6^n+98*5^n-76*4^n+35*3^n-9*2^n+1;

PROG

(PARI) vector(100, n, 24*7^n-72*6^n+98*5^n-76*4^n+35*3^n-9*2^n+1) \\ Colin Barker, Feb 23 2015

CROSSREFS

Cf. A125630.

Sequence in context: A044642 A264462 A198968 * A158513 A125880 A125445

Adjacent sequences:  A125943 A125944 A125945 * A125947 A125948 A125949

KEYWORD

nonn,base,easy

AUTHOR

Aleksandar M. Janjic and Milan Janjic, Feb 04 2007

STATUS

approved

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Last modified April 19 07:53 EDT 2021. Contains 343109 sequences. (Running on oeis4.)