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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
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: A363186 A264462 A198968 * A158513 A125880 A125445
KEYWORD
nonn,base,easy
AUTHOR
Aleksandar M. Janjic and Milan Janjic, Feb 04 2007
STATUS
approved

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Last modified March 18 22:50 EDT 2024. Contains 370951 sequences. (Running on oeis4.)