A253173 Values n, where n = p * q, and n, p, and q together contain all 10 digits at least once, and no digit is in more than one of n, p or q.

15628, 15678, 16038, 17082, 17820, 19084, 20457, 20754, 21658, 24507, 26910, 27504, 28156, 28651, 30976, 32890, 34902, 35046, 35496, 36508, 36970, 37096, 37690, 38870, 40596, 40898, 43076, 43670, 45068, 46740, 46970, 47690, 48504, 48592, 50076, 50346

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Example

a(1) is 15628 = 4 * 3907, using all 10 digits.
20748 = 13 * 1596, using all 10 digits, but is NOT a member of this sequence, because the digit 1 appears in both p and q.

Prog

(PARI) isok(n) = {fordiv(n, d, q = n/d; sn = vecsort(digits(n), , 8); sd = vecsort(digits(d), , 8); sq = vecsort(digits(q), , 8); sa = vecsort(concat(sn, concat(sd, sq)), , 8); if ((#sa == 10) && (#sn + #sd + #sq == 10), return (1)); ); return (0); } \\ Michel Marcus, Feb 07 2015

Crossrefs

Cf. A195814 (a finite subsequence).

Cf. A253172 (a supersequence, which allows for duplicate digits in n, p and q).

Sequence in context: A222280 A191560 A253172 * A195814 A165612 A206747

Adjacent sequences: A253170 A253171 A253172 * A253174 A253175 A253176

Keyword

nonn,easy,base

Author

Randy L. Ekl, Dec 28 2014

Status

approved