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A066156 a(n) is the least k>n such that k*n = (product of digits of k) * (sum of digits of k), or 0 if no such k exists. 0
10, 135, 15, 139968, 18, 756, 476, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) = 0 for all n > 8: see A049101. - Robert Israel, Aug 18 2020

LINKS

Table of n, a(n) for n=0..94.

MATHEMATICA

Do[ k = n + 1; While[ k*n != Apply[Times, IntegerDigits[k]] Apply[Plus, IntegerDigits[k]], k++ ]; Print[k], {n, 0, 10} ]

CROSSREFS

Cf. A007953 (sum of digits), A007954 (product of digits).

Cf. A049101.

Sequence in context: A203325 A324421 A284162 * A173044 A218440 A048666

Adjacent sequences:  A066153 A066154 A066155 * A066157 A066158 A066159

KEYWORD

base,nonn

AUTHOR

Robert G. Wilson v, Dec 13 2001

EXTENSIONS

Edited by Robert Israel, Aug 18 2020

STATUS

approved

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Last modified October 26 16:34 EDT 2020. Contains 338027 sequences. (Running on oeis4.)