Callistemon species
From Tony Rodd: "Could be the Tasmanian endemic Callistemon viridiflorus, but I can't rule out C. pallidus"
Thanks to Kamelfisk, Forrest-and-Kim, Edgeplot and Tony Rodd for ID assistance. My original surmise that this was a Banksia was quite wrong!
When I first looked at this, I thought the inflorescence was a Banksia: "The character most commonly associated with Banksia is the flower spike, an elongated inflorescence consisting of a woody axis covered in tightly-packed pairs of flowers attached at right angles. A single flower spike generally contains hundreds or even thousands of flowers;"
en.wikipedia.org/wiki/Banksia
That was quite wrong, as edgeplot (and others) pointed out to me: "I think this might not be a Banksia. Note the new growth at the top of the inflorescence. Banksia has terminal inflorescences from which no new growth is derived. This looks to me more like Callistemon or something related."
Australia oz2009 752