A155891 -id:A155891 - cp's OEIS frontend

A155892 Least positive integer such that a(n)! starts with n, both written in base 3.

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

Offset: 1

M. F. Hasler, Feb 01 2009

			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.

Cf. A155891, A018799, A076219.

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

A155894 Least positive integer such that a(n)! starts with n, both written in base 16.

Original entry on oeis.org

1, 2, 10, 36, 9, 3, 5, 24, 8, 43, 82, 25, 30, 46, 64, 62, 60, 68, 7, 14, 70, 18, 13, 4, 31, 272, 19, 12, 97, 35, 161, 140, 20, 86, 27, 74, 131, 11, 502, 234, 47, 181, 386, 21, 6, 996, 52, 232, 144, 32, 393, 189, 199, 281, 10, 490, 39, 154, 83, 22, 28, 577, 63, 65, 88, 61, 115

Offset: 1

M. F. Hasler, Feb 01 2009

Nick Hobson, Table of n, a(n) for n = 1..4095
Nick Hobson, C program.

Cf. A155891, A155892, A155893, A018799, A076219.

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A155894(n)={ local( F=1,k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=16 )); k}

A155893 Least positive integer such that a(n)! starts with n, both written in base 8.

Original entry on oeis.org

1, 2, 4, 16, 13, 3, 46, 27, 7, 14, 6, 32, 10, 39, 5, 20, 86, 50, 11, 26, 121, 18, 38, 4, 31, 199, 34, 12, 139, 28, 63, 62, 61, 67, 60, 125, 59, 16, 37, 58, 47, 108, 23, 21, 41, 13, 112, 71, 194, 56, 25, 30, 302, 19, 166, 46, 55, 150, 83, 116, 219, 73, 90, 140, 164, 54, 207

Offset: 1

M. F. Hasler, Feb 01 2009

Cf. A155891, A155892, A018799, A076219.

A155893(n)={ local( F=1,k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=8 )); k}

A155895 Least positive integer such that a(n)! starts with n, both written in base 5.

Original entry on oeis.org

1, 2, 17, 4, 6, 3, 29, 7, 10, 19, 31, 8, 18, 14, 37, 61, 81, 17, 33, 11, 63, 94, 9, 4, 13, 24, 16, 6, 27, 22, 52, 152, 28, 21, 143, 45, 35, 29, 67, 7, 62, 15, 247, 181, 193, 10, 105, 48, 12, 97, 19, 167, 36, 72, 146, 75, 31, 391, 69, 40, 186, 486, 133, 8, 57, 46, 18, 103, 115

Offset: 1

M. F. Hasler, Feb 01 2009

			a(3) = 17 since 17! is the least factorial to start with digit "3" when written in base 5. a(5) = 6 since 5 = 10[5] (i.e. written in base 5) and 6! = 720 = 625 + 75 + 20 = 10340[5] is the smallest factorial to start with digits "10" when written in base 5.

Cf. A155891--A155894, A018799, A076219.

A155895(n)={ local( F=1,k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=5)); k}

A155896 Least positive integer such that a(n)! starts with n, both written in base 6.

Original entry on oeis.org

1, 2, 5, 4, 8, 3, 9, 26, 52, 18, 25, 10, 33, 53, 32, 15, 13, 20, 30, 5, 17, 42, 7, 4, 23, 43, 78, 50, 28, 113, 8, 44, 19, 334, 59, 100, 195, 27, 22, 14, 91, 172, 371, 16, 93, 9, 12, 102, 66, 26, 46, 95, 279, 303, 69, 331, 272, 52, 286, 79, 264, 298, 18, 21, 190, 104, 47, 138, 255

Offset: 1

M. F. Hasler, Feb 01 2009

			a(3) = 5 since 5!=120 is the least factorial to start with digit "3" when written in base 6. a(8) = 26 since 8 = 12[6] (i.e. written in base 6) and 26! is the smallest factorial to start with digits "12" when written in base 6.

Cf. A155891--A155894, A018799, A076219.

A155896(n)={ local( F=1,k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=6)); k}

cp's OEIS Frontend

A155892 Least positive integer such that a(n)! starts with n, both written in base 3.

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A155894 Least positive integer such that a(n)! starts with n, both written in base 16.

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A155893 Least positive integer such that a(n)! starts with n, both written in base 8.

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PARI

A155895 Least positive integer such that a(n)! starts with n, both written in base 5.

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PARI

A155896 Least positive integer such that a(n)! starts with n, both written in base 6.

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PARI