Inheritance of African horn gene is similar to that of scurs...and some recent papers have indicated that they are the same gene...perhaps some other Zebu genes influence expression. At any rate, it's a sex-influenced trait - males with one or two copies will have scurs or African horn; females must have two copies in order to express scur/African horn growth.
AJ, I used to think that too, but to my knowledge, but look here, and ponder it a while:http://homepage.usask.ca/~schmutz/ScurredTable.html
All the recent investigations have pretty well shown that only hetero-polled animals will express scurs. Homozygous polled even masks homozygosity for scurs...so, a smooth-polled(homo-polled) bull could potentially sire scurred calves from a smooth-polled (but hetero-polled)cow that is a scur carrier, if he's a scur carrier.
I see reports of purebred Angus bulls occasionally siring scurred calves...making folks question his 'purity'; There were scurred Angus bulls in the foundation stock of the breed - Hanton 80 and Shah, perhaps others; so...in a homo-polled breed, the scur gene may have been skating along undetected for generations...until it pops up when you breed 'em to a hetero-polled cow. So...maybe the dams of those scurred 'Angus' calves should be the ones whose 'purity' is questioned...