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A045559
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Numbers whose factorial has '44' as its final two digits before the trailing zeros.
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1
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21, 78, 112, 134, 135, 141, 155, 182, 196, 202, 206, 259, 260, 266, 320, 323, 330, 413, 418, 422, 428, 437, 442, 463, 465, 485, 490, 517, 545, 548, 559, 566, 572, 579, 620, 623, 650, 651, 667, 680, 728, 768, 781, 820, 823, 833, 844
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OFFSET
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1,1
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LINKS
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PROG
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(PARI) last(n, k)=if(n*8\9-1<k, n=n!; return(n/10^valuation(n, 10)%10^k)); my(m=Mod(1, 5^k)); for(i=2, n, m*=i/10^valuation(i, 5)); lift(chinese(m, Mod(0, 2^k))) \\ Gives the last k decimal digits of n!.
(PARI) v=List(); m=Mod(1, 25); for(n=2, 1e6, m*=n/10^valuation(n, 5); if(m==44, listput(v, n); if(#v==100, return(Vec(v))))) \\ Charles R Greathouse IV, Oct 22 2014
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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