A096090 Index of the first occurrence of n in A096089, or 0 if n never appears.

1, 13, 15, 17, 116, 117, 119, 1119, 0, 10, 506, 304, 203, 508, 305, 509, 102, 1012, 307, 205, 308, 2035, 103, 1033, 2056, 207, 1013, 2067, 104, 1044, 209, 1034, 1024, 105, 1055, 1014, 1045, 106, 1035, 2029, 107, 10225, 1046, 1015, 108, 1036, 109, 1078

Offset: 1

Author

Amarnath Murthy, Jun 22 2004

Keywords

• base
• nonn

Comments

a(9) = 0. For any number with any 0 digits, A096089(n) >= 10. The only number with n digits and no zeros that can be multiplied by 9 to produce a number with the same number of digits is 111...1, so 9 cannot be achieved. A similar argument shows that a(n) = 0 for any n whose leading digit is 9. Note that a(89) = 1011199; probably every number whose leading digit is not 9 does occur in A096089. - Franklin T. Adams-Watters, Jul 19 2006

Examples

			a(7) = 119 as floor[911/119] = floor[7.655462184...] = 7 and 119 is the smallest such number.
		

Links

• R. J. Mathar, List of n, a(n) for n=1..1000 with a(n)=-1 for unknown terms.

Crossrefs

Cf. A096089, A096091.

Extensions

1119 from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Jul 19 2004, who remarks that a(9) is not known. The terms after a(9) are 10, 506, 304, 203, 508, 305, 509, 102, 1012, 307, 205, 308, 2035, 103, 1033, 2056, 207, 1013, 2067, 104, 1044, 209, 1034, 1024, 105, 1055, 1014, 1045, 106, 1035, 2029, 107, ...

More terms from Franklin T. Adams-Watters, Jul 19 2006