A244287 - OEIS

A244287

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 x divides T(x).

11, 19, 22, 28, 33, 37, 44, 46, 55, 64, 73, 82, 91, 111, 157, 222, 333, 444, 555, 1111, 1919, 2222, 2828, 3333, 3737, 4444, 4646, 5555, 6464, 7373, 8282, 9191, 11111, 22222, 33333, 44444, 55555, 111111, 157157, 191919, 222222, 282828, 333333, 373737, 444444

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OFFSET

1,1

LINKS

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

EXAMPLE

For x = 11 -> T(x) = 22 and 22 / 11 = 2.

For x = 19 -> T(x) = 0 and 0 /19 = 0.

For x = 157157 -> T(x) = 628628 and 628628 / 157157 = 4.

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;