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A125946
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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.
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18
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10, 98, 940, 8798, 80140, 709238, 6096100, 50950718, 415060060, 3305238278, 25807024660, 198131841038, 1499550640780, 11213044626518, 82997777543620, 609099122145758, 4437879770746300, 32138240678881958, 231547934781860980, 1661033550903240878
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OFFSET
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1,1
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LINKS
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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).
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FORMULA
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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
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MAPLE
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f:=n->24*7^n-72*6^n+98*5^n-76*4^n+35*3^n-9*2^n+1;
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PROG
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(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
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CROSSREFS
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Cf. A125630.
Sequence in context: A044642 A264462 A198968 * A158513 A125880 A125445
Adjacent sequences: A125943 A125944 A125945 * A125947 A125948 A125949
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KEYWORD
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nonn,base,easy
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AUTHOR
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Aleksandar M. Janjic and Milan Janjic, Feb 04 2007
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STATUS
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approved
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