A244286 - OEIS

A244286

Consider a decimal number of k>=2 digits x = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1) and the transform T(x)-> (d_(k)+d_(k-1) mod 10)*10^(k-1) + (d_(k-1)+d_(k-2) mod 10)*10^(k-2) + ... + (d_(2)+d_(1) mod 10)*10 + (d_(1)+d(k) mod 10). Sequence lists the numbers x such that T(x) divides x.

66, 374, 464, 550, 646, 648, 666, 828, 2847, 5566, 6468, 6666, 8283, 19142, 37398, 46463, 46464, 46560, 55550, 55660, 64646, 66666, 82029, 373758, 374374, 464464, 464640, 550550, 555500, 646646, 648648, 648912, 666666, 737374, 737484, 823170, 828289, 828291

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OFFSET

1,1

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..100

EXAMPLE

For X = 66 -> T(x) = 22 and 66 / 22 = 3.

For x = 37398 -> T(x) = 00271 and 37398 / 271 = 138.

For x = 295248676 -> T(x) = 147624338 and 295248676 / 147624338 = 2.

MAPLE

P:=proc(q) local a, b, c, j, n; for n from 10 to q do a:=[]; b:=n;

while b>0 do a:=[b mod 10, op(a)]; b:=trunc(b/10); od; b:=(a[nops(a)]+a[1]) mod 10;