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A155892 Least positive integer such that a(n)! starts with n, both written in base 3. 2
1, 2, 12, 5, 13, 3, 19, 4, 31, 18, 12, 21, 5, 33, 17, 13, 34, 8, 38, 7, 19, 92, 24, 4, 11, 6, 46, 39, 31, 22, 18, 77, 12, 55, 32, 75, 21, 52, 74, 5, 15, 33, 61, 122, 166, 17, 47, 13, 65, 54, 49, 148, 34, 71, 8, 117, 107, 60, 38, 51, 10, 7, 111, 25, 19, 92, 123, 128, 29, 24, 56, 99 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

a(4) = 5 since 4 = 11[3] (i.e. written in base 2) and 5! = 11110[3] is the least factorial to have 11 as most significant digits in base 3.

PROG

(PARI) A155892(n)={ local( F=1, k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=3 )); k}

CROSSREFS

Cf. A155891, A018799, A076219.

Sequence in context: A264841 A191249 A005760 * A286480 A286256 A239111

Adjacent sequences:  A155889 A155890 A155891 * A155893 A155894 A155895

KEYWORD

base,nonn

AUTHOR

M. F. Hasler, Feb 01 2009

STATUS

approved

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Last modified February 25 05:15 EST 2020. Contains 332217 sequences. (Running on oeis4.)