However, more generally it is very common for a small business to file articles with different address and immediately amend after filing. Why? Because it is the chicken and egg problem, a business can not sign a business lease in the business name without the articles being filed and articles can not be filed with a business address before the lease is signed. Therefore it is normal course of business for small businesses to file articles with a home address, then upon formation sign a lease in the business name, then amend the articles to reflect the new business address, and all along the businesses know they will do this.
Checked out plainlegal.com (mobile), very nice.
Edit: for clarification I am a FL attorney, my old firm has offices in 7 states (including NY) and the UK
For those that care. Section 206 of the Limited Liability Company Law of the State of New York states: Upon the effectiveness of the initial Articles of Organization of an LLC, a copy of same or a notice containing the substance thereof shall be published once each week for six successive weeks, in two newspapers of the county in which the office of the LLC is located, one must be a daily newspaper and the other a weekly newspaper designated by the County Clerk. Proof of such publication by the Affidavit of the publisher or printer of each newspaper must be filed with New York State within 120 days after the effective date of the Articles of Organization of the LLC.
As a side, I am generally pro-LLC (this is a serious legal analysis, do not just make a decision based on others advice see a corporate lawyer), but my understanding this runs counter to the general principal of SV where they are pro-Corp.