A247626 Knife numbers (third version): n=concat(a,b) is divisible by a+b; a>0, b may have leading zeros.

10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 105, 108, 110, 120, 126, 130, 132, 140, 144, 147, 150, 160, 162, 168, 170, 180, 189, 190, 198, 200, 201, 204, 207, 209, 210, 216, 220, 230, 231, 240, 243, 250, 260, 264, 270, 280, 288, 290, 297, 300, 306, 308, 310, 320, 324, 330, 340

Offset

1,1

Comments

See subsequences A247624, A247625 and A247627 for more restrictive definitions, excluding, e.g., leading zeros in b.

Links

Table of n, a(n) for n=1..72.

E. Angelini, Knife numbers.

Prog

(PARI) is(n)=n&&for(k=1, #Str(n)-1, n%([1, 1]*divrem(n, 10^k))||return(1))

Crossrefs

Sequence in context: A265043 A158871 A359074 * A247627 A327709 A129120

Adjacent sequences: A247623 A247624 A247625 * A247627 A247628 A247629

Keyword

nonn,base

Author

M. F. Hasler and Eric Angelini, Sep 21 2014

Status

approved