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A263476 Total number of n-digit positive integers with multiplicative digital root value 0. 7
0, 24, 452, 6263, 75662, 820207, 8491909, 86727773, 879578102, 8878382430, 89326016765, 896499124003, 8981948713433, 89902031287356, 899441785434096, 8996797304009863, 89981980972837834, 899900967867894143, 8999467457237611688, 89997196286115385871 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

First differences of A263470.

LINKS

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..50

FORMULA

a(n) + A000012(n) + A263477(n) + A000027(n) + A263478(n) + A263479(n) + A263480(n) + A000027(n) + A263481(n) + A000217(n) = A052268(n).

MATHEMATICA

Last /@ Tally@ IntegerLength@ Select[Range[0, 10^6 - 1], FixedPoint[Times @@ IntegerDigits@ # &, #] == 0 &] (* Michael De Vlieger, Oct 21 2015 *)

PROG

(PARI) t(k) = {while(k>9, k=prod(i=1, #k=digits(k), k[i])); k}

a(n) = sum(i=10^(n-1), 10^n - 1, if(t(i) == 0, 1, 0));  \\ Altug Alkan, Oct 19 2015

CROSSREFS

Cf. A031347, A034048, A263470.

Sequence in context: A024303 A060195 A114201 * A263470 A276816 A200979

Adjacent sequences:  A263473 A263474 A263475 * A263477 A263478 A263479

KEYWORD

nonn,base

AUTHOR

Martin Renner, Oct 19 2015

EXTENSIONS

a(9)-a(20) from Hiroaki Yamanouchi, Oct 25 2015

STATUS

approved

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Last modified January 20 10:18 EST 2022. Contains 350471 sequences. (Running on oeis4.)