Neil Sedaka, the veteran pop singer-songwriter who penned some of the most enduring hits of the 1960s and early 1970s, has died. His family confirmed the news on social media, writing, “Our family is devastated by the sudden passing of our beloved husband, father and grandfather, Neil Sedaka. A true rock and roll legend, an inspiration to millions, but most importantly, at least to those of us who were lucky enough to know him, an incredible human being who will be deeply missed.” He was 86. Sedaka wrote dozens of No. 1 hits for the Billboard charts, many of which he sang and performed himself, from the cheeky “Oh! Carol,” about his ex-girlfriend Carole King, to the hook-forward favorite “Calendar Girl.” His biggest single, “Breaking Up Is Hard to Do,” earned him a nomination for Song of the Year at the 1976 Grammy Awards. Onstage, Sedaka was cheeky at the piano and even more charming while parading around with dance moves.…