A267193 Complement obverse of n.

9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 98, 88, 78, 68, 58, 48, 38, 28, 18, 8, 97, 87, 77, 67, 57, 47, 37, 27, 17, 7, 96, 86, 76, 66, 56, 46, 36, 26, 16, 6, 95, 85, 75, 65, 55, 45, 35, 25, 15, 5, 94, 84, 74, 64, 54, 44, 34, 24, 14, 4, 93, 83, 73, 63, 53, 43, 33, 23, 13

Offset

0,1

Comments

Replace digits of n by their 9's complements, reverse the order, omit any leading zeros.

Suggested by a posting by Mike Stay to the Math Fun Mailing List, Jan 24 2016, which in turn was loosely based on the definition used in logic (see the Philosophy Pages link).

Links

Alois P. Heinz, Table of n, a(n) for n = 0..9999

Garth Kemerling, Philosophy Pages: Immediate Inferences.

Example

The 9's complement of the digits of 980 are 019, so a(980) = 910.

Maple

a:= n-> (s-> parse(cat(seq(9-s[i], i=1..nops(s))))
         )(convert(n, base, 10)):
seq(a(n), n=0..100);  # Alois P. Heinz, Jan 24 2016

Crossrefs

Cf. A061601 (9's complement of n).

Sequence in context: A084019 A061601 A098756 * A112454 A304621 A138531

Adjacent sequences: A267190 A267191 A267192 * A267194 A267195 A267196

Keyword

nonn,base

Author

N. J. A. Sloane, Jan 24 2016

Extensions

More terms from Alois P. Heinz, Jan 24 2016

Status

approved