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A160946 Numbers n that are multiples of the reversal of n+1. 3
9, 99, 741, 979, 999, 9499, 9999, 99999, 319999, 749509, 771999, 999999, 1240099, 3522999, 3794109, 7099999, 7425741, 9801979, 9998899, 9999999, 10870209, 19789119, 30099999, 73378209, 75199999, 99999999, 326599999, 726199999, 728739999, 783742161, 969999999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For n>0, 10^n-1 is a term (that is, A002283 except 0). - Michel Marcus, Nov 25 2014

LINKS

Table of n, a(n) for n=1..31.

Ana Rechtman, Septembre 2019, 3e défi, Images des Mathématiques, CNRS, 2019 (in French).

EXAMPLE

741 = 3 * 247 = 3 * R(742) = 3 * R(741+1).

MAPLE

with(numtheory): T:=proc(w) local x, y, z; x:=0; y:=w;

for z from 1 to ilog10(w)+1 do x:=10*x+(y mod 10); y:=trunc(y/10); od; x; end;

P:=proc(q) local n; for n from 1 to q do if type(n/T(n+1), integer)

then print(n); fi; od; end: P(10^9); # Paolo P. Lava, Nov 24 2014

PROG

(PARI) isok(n) = ! (n % subst(Polrev(digits(n+1)), x, 10)); \\ Michel Marcus, Nov 24 2014

CROSSREFS

Sequence in context: A116274 A116286 A306449 * A100681 A043044 A222729

Adjacent sequences:  A160943 A160944 A160945 * A160947 A160948 A160949

KEYWORD

nonn,base

AUTHOR

Claudio Meller, May 30 2009

EXTENSIONS

More terms from Claudio Meller, Jun 19 2009

a(24)-a(31) from Paolo P. Lava, Nov 24 2014

STATUS

approved

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Last modified August 11 20:13 EDT 2022. Contains 356067 sequences. (Running on oeis4.)