Sure! Here's a simple implementation of the mobile game 2048 using JavaScript and HTML. The game is designed to be played on a smartphone and uses pictograms as requested. Remember to save the code in a single HTML file.
To play the game, simply open the HTML file on your smartphone's browser. You can use the arrow keys on the on-screen keyboard to move the cells and try to reach the 2048 tile. The game will keep track of your score, and if you cannot make any more moves, it will display a "Game Over" alert.