Answer by taking a quote from the following article:

The Algonquin Round Table was a group of New York City writers, critics, actors, and wits. Gathering initially as part of a practical joke, members of "The Vicious Circle", as they dubbed themselves, met for lunch each day at the Algonquin Hotel from 1919 until roughly 1929. At these luncheons they engaged in wisecracks, wordplay, and witticisms that, through the newspaper columns of Round Table members, were disseminated across the country. Daily association with each other, both at the luncheons and outside of them, inspired members of the Circle to collaborate creatively.

Given the literary and theatrical activities of the Round Table members, it was perhaps inevitable that they would write and stage their own revue. No Sirree!, staged for one night only in April 1922, was a take-off of a then-popular European touring revue called La Chauve-Souris, directed by Nikita Balieff.  No Sirree! had its genesis at the studio of Neysa McMein, which served as something of a salon for Round Tablers away from the Algonquin. Acts included: "Opening Chorus" featuring Woollcott, Toohey, Kaufman, Connelly, Adams and Benchley with violinist Jascha Heifetz providing offstage, off-key accompaniment; "He Who Gets Flapped", a musical number featuring the song "The Everlastin' Ingenue Blues" written by Dorothy Parker and performed by Robert Sherwood accompanied by "chorus girls" including Tallulah Bankhead, Helen Hayes, Ruth Gillmore, Lenore Ulric and Mary Brandon; "Zowie, or the Curse of an Akins Heart"; "The Greasy Hag, an O'Neill Play in One Act" with Kaufman, Connelly and Woollcott; and "Mr. Whim Passes By--An A. A. Milne Play."  The only item of note to emerge from No Sirree! was Robert Benchley's contribution, The Treasurer's Report. Benchley's disjointed parody so delighted those in attendance that Irving Berlin hired Benchley in 1923 to deliver the Report as part of Berlin's Music Box Revue for $500 a week. In 1928, Report was later made into a short sound film in the Fox Movietone sound-on-film system by Fox Film Corporation. The film marked the beginning of a second career for Benchley in Hollywood.  With the success of No Sirree! the Round Tablers hoped to duplicate it with an "official" Vicious Circle production open to the public with material performed by professional actors. Kaufman and Connelly funded the revue, named The Forty-niners. The revue opened in November 1922 and was a failure, running for just 15 performances.

How did they get the idea for No Sirree! ?