The order of the number related with digits;
一类与位数码有关的数的阶
A note on the generating function of the digit-sequence;
关于位数码列的生成函数的注记
For positive integer , we say that are thedigits of n and denote S(n) We call1m2m3m4m5m6m7m8m9m0m1m1m 1m2m 1m3m 1m4m… the m-order sequence of digits, anddefine the functionThen, we obtained the result:Theorem10log10.
对于上整数,称是n的位数码,记与m为n的位数码和与阶阶位数码和,由m-阶位数码和列构成的母函数为当x→-0时,本文作出了它的渐近估计,有结果为:其中,而“log”是以自然数e为底的“对数”记号。
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