A163128 a(n) is the n-th self-number minus n.

0, 1, 2, 3, 4, 14, 24, 34, 44, 54, 64, 74, 84, 94, 95, 105, 115, 125, 135, 145, 155, 165, 175, 185, 186, 196, 206, 216, 226, 236, 246, 256, 266, 276, 277, 287, 297, 307, 317, 327, 337, 347, 357, 367, 368, 378, 388, 398, 408, 418, 428, 438, 448, 458, 459, 469, 479, 489, 499

Offset

1,3

Links

Table of n, a(n) for n=1..59.

Formula

a(n) = A003052(n) - n.

Example

a(6) = 20 - 6 = 14.
a(7) = 31 - 7 = 24.

Maple

A007953 := proc(n) add(d, d=convert(n, base, 10)) ; end:
isA003052 := proc(n) for k from 1 to n do if k+A007953(k) = n then RETURN(false) ; fi; od: true; end:
A003052 := proc(n) option remember; if n = 1 then 1; else for a from procname(n-1)+1 do if isA003052(a) then RETURN(a) ; fi; od: fi; end:
A163128 := proc(n) A003052(n)-n ; end:
for n from 1 to 100 do printf("%d, ", A163128(n)) ; od: # R. J. Mathar, Jul 31 2009

Crossrefs

Cf. A000027, A003052.

Sequence in context: A333623 A317737 A188533 * A280924 A295756 A140047

Adjacent sequences: A163125 A163126 A163127 * A163129 A163130 A163131

Keyword

nonn,base

Author

Juri-Stepan Gerasimov, Jul 21 2009

Extensions

Entries checked by R. J. Mathar, Jul 31 2009

Status

approved