Bjorn's Hexakuro

What do you get when you cross Sudoku with Kakuro? Hexakuro! Hexakuro™ is a hexagonal implementation of the number puzzle Kakuro (or Cross Sums). The object of the puzzle is to fill in each blank hexagon with a digit from 1 to 9 so that no digit is repeated in a continuous line of vertical or diagonal white hexagons. In addition, the digits in the line of hexagons must add up to the clue which is shown in a triangle at one end of the line. Unlike in Kakuro, where there is a clue for each row and column (on a rectangular grid), in Hexakuro many clues may be missing. In some cases, a hexagon may have no associated clue at all and the solution relies on your Sudoku skills based on having no number repeat in the contiguous vertical and diagonal hexagons. A well designed puzzle should have only a single solution.