A247625 Knife numbers (second version): n=concat(a,b) is divisible by a+b; a>0; b must not have leading zeros.

12, 18, 21, 24, 27, 36, 42, 45, 48, 54, 63, 72, 81, 84, 102, 105, 108, 110, 126, 132, 144, 147, 162, 168, 189, 198, 201, 204, 207, 209, 216, 220, 231, 243, 264, 288, 297, 306, 308, 324, 330, 396, 402, 405, 407, 408, 414, 418, 429, 432, 440, 462, 486, 495, 504, 506, 510, 528, 540, 550, 567, 594, 603, 605, 612, 616, 621, 627, 648

Offset

1,1

Comments

Here, b must not have leading zeros but may be zero, in contrast to the subsequence A247624 and the alternate variant A247627. Sequence A247626 is less restrictive, allowing leading zeros in b.

Links

Table of n, a(n) for n=1..69.

E. Angelini, Knife numbers.

Prog

(PARI) is(n, u=[1, 1])=n&&for(k=1, #Str(n)-1, n%(u*divrem(n, 10^k))==0&&(n%10^k)&&return(1))

Crossrefs

Sequence in context: A257719 A071927 A362052 * A171674 A247624 A031207

Adjacent sequences: A247622 A247623 A247624 * A247626 A247627 A247628

Keyword

nonn,base

Author

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

Status

approved