As it became increasingly evident his son would play major league ball, Clay Bellinger offered the perspective he had gained from his own unique ride.

“I always told him I expected him obviously to do better than I did as far as numbers-wise,” the former Yankee said this past week at Dodger Stadium during the World Series. “I said, ‘If you ever can do better than I did team-wise, you’re doing OK.’ ”

Well, Cody Bellinger, likely to be the unanimous winner of the National League Rookie of the Year award, has not yet exceeded his dad’s team accomplishments, not after Cody’s Dodgers fell short to the Astros in a breathless, seven-game World Series. Nevertheless, the Bellinger family now stands at a remarkable 5-for-5: five years in the big leagues, five associations with pennant-winning teams.

For Clay Bellinger, it’s an especially sweet development. Long out of baseball, he is back in ballparks, back in touch with old friends because of his son’s success.

A second-round pick by the Giants in 1989, Bellinger made his big league debut 10 years later with the Yankees. Interim manager Don Zimmer, whose son Tom had signed Bellinger for the Giants, delivered the news he had been selected for the Opening Day roster. Bellinger spent the next three seasons helping the Yankees everywhere besides pitcher and catcher, riding the “Columbus shuttle,” as they called it when Columbus served as the Yankees’ Triple-A affiliate. He totaled 181 regular-season games with the Yankees, slashing .193/.257/.363, and played 19 more games in the postseason.

Cody, born in 1995, often could be seen at his dad’s side after Yankees wins, when the players’ sons were allowed in the clubhouse.

“I wish I remembered more,” Cody Bellinger said during the Series. “I remember the World Series parades. Man, I remember we were sitting [on a float], going through downtown. The confetti was flying everywhere. Toilet paper. It was madness.”

The Bellingers got to ride in two parades, 1999 and 2000. Bellinger made a memorable, ninth-inning catch against the old Yankee Stadium’s left-field wall to rob the Mets’ Todd Zeile of at least an extra-base hit in Game 2 of the 2000 Fall Classic. The 2001 Yankees lost to the Diamondbacks in a memorable World Series Game 7, and after that, they let Bellinger go.

He signed with the Angels, played two games for them in April 2002 and spent the rest of the season with Triple-A Salt Lake. He watched the Angels win it all from afar. Imagine Bellinger’s surprise that winter when he received a phone call from an Angels official.

“They said, ‘What ring size?’ ” Bellinger said. “I said, ‘12, 12 ¹/₂,’ whatever it was. ‘Why?’ ‘First one ever, so we want to give everyone one.’ I appreciate it, sure. I’m not going to turn it down.”

The rings all sit in a safe-deposit box in Arizona, where Bellinger makes his home. He has been a firefighter in Gilbert, Ariz., a town in the Phoenix metropolitan area, for more than 11 years.

“In Arizona, if you’re a Yankee, people don’t care,” he said, smiling.

The Dodgers took Cody in the fourth round of the 2013 draft, after a rough senior year at Hamilton High School in Chandler, Ariz., during which he hit just one home run. Clay, who coached Cody until high school, said he always believed Cody’s power would come with increased height and weight. At the All-Star Game festivities in Miami last July, Clay pitched to Cody in the Home Run Derby.

“The thing he tells me the most is to respect the game on and off the field,” Cody Bellinger said of his father. “He says that can get you far, whether you’re successful or not. Just respect everyone in the game. Hopefully you’ll get respect back.”

Cody Bellinger keeps in touch with Andy Pettitte’s oldest son, Josh, whom he met in that Yankees clubhouse. Clay Bellinger’s wife, Jen, maintains contact with some of the other wives. For Clay Bellinger himself, though, this Dodgers World Series run afforded him an opportunity to renew old acquaintances.

“We stayed at Roger’s house,” Bellinger said, naturally referring to Roger Clemens. “His wife, Debbie, invited us. I haven’t seen them in forever. I haven’t seen their boys since they were small. So that kind of worked out good, instead of hanging in the hotel.”

Bellinger said he also saw Houston-area resident Chuck Knoblauch, who attended all of the games.

“There are so many good people around the game,” Bellinger said. Cody’s rough Series, with a record 16 strikeouts, gives him motivation for next year. His dad will be at his side, proud of his son and thrilled to be back in the baseball community — and rooting for the Bellinger family to go 6-for-6.