Lara Solomon

Sydney, Australia

Lara Solomon

Owner and practice manager of Rose Bay Medical Clinic. Operations and customer management at Redrew Clothing. Published contributor to the On-Line Encyclopedia of Integer Sequences.

About

Lara Solomon is an Australian healthcare business owner and operations manager based in Sydney, New South Wales. She owns and manages Rose Bay Medical Clinic, a general practice in Rose Bay in Sydney's eastern suburbs, and runs operations and customer management for Redrew Clothing, a sustainable womenswear label designed and made in Sydney.

Outside of business, she works in enumerative combinatorics. In July 2026 the On-Line Encyclopedia of Integer Sequences credited her with the thirteenth terms of two sequences counting self-avoiding paths on square grid graphs — extending records first published in 2014 and 2017, on a problem the encyclopedia classifies as computationally hard.

Two very different disciplines, one habit: taking a system that nobody has fully mapped and working out exactly how it behaves.

Healthcare

Rose Bay Medical Clinic

Owner & Practice Manager — Rose Bay, Sydney

Rose Bay Medical Clinic is a general practice serving Rose Bay and Sydney's eastern suburbs, with general practitioners and psychologists across women's and men's health, paediatrics, sexual health, mental health and preventative medicine.

Lara owns the practice and manages it day to day — the clinical roster, the front desk, the billing, the compliance, the patient experience. General practice runs on a hundred small operational decisions a week, and the ones that matter most are invisible when they go right: a patient who gets seen on time, a referral that arrives before the appointment does, a recall that catches something early.

Shop 2, 733 New South Head Road
Rose Bay NSW 2029, Australia
(02) 9371 1100

Retail & Operations

Redrew Clothing

Operations & Customer Management — Sydney

Redrew is an Australian sustainable womenswear label — elegant, feminine, deliberately timeless pieces, designed and made in Sydney from recycled and repurposed fabrics, produced to order to keep textile waste down. The brand is rated Good overall by the sustainability directory Good On You.

Lara runs operations and customer management: the order pipeline from checkout to dispatch, made-to-order production scheduling, international shipping and duties, returns, and the customer relationships that carry a small label further than any campaign does. It is the unglamorous half of a beautiful product, and it is the half that decides whether a customer comes back.

Published Mathematics

On-Line Encyclopedia of Integer Sequences

Contributor — three sequences

The OEIS is the reference database of integer sequences, founded in 1964 by Neil Sloane and cited across mathematics and computer science. Lara's contributions all concern the same stubborn problem: counting self-avoiding paths on a square grid graph — every route through an n × n lattice that never revisits a point. The count explodes so violently with n that each additional term is its own computational project.

  1. A236753 Number of simple (non-intersecting) directed paths on the grid graph Pn × Pn a(13) — 30 July 2026

    Flagged hard by the OEIS. Lara computed the 13 × 13 case — a 39-digit number:

    779 903 870 849 450 440 101 587 633 989 096 314 113
  2. A288032 Number of (undirected) paths in the n × n grid graph a(13) — 30 July 2026

    The undirected companion result, contributed the same day. The two values are self-checking: the directed count is exactly twice the undirected count plus the 169 single-vertex paths of a 13 × 13 grid.

    389 951 935 424 725 220 050 793 816 994 548 156 972
  3. A288518 Array read by antidiagonals: T(m,n) = number of (undirected) paths in the grid graph Pm × Pn b-file extended to 351 terms

    The general rectangular case. Lara extended the sequence's data file from 276 terms to 351 — three complete new antidiagonals added to a table whose previous 276 terms were the work of Andrew Howroyd.

At a Glance

Name
Lara Solomon
Location
Sydney, New South Wales, Australia
Primary role
Owner & Practice Manager, Rose Bay Medical Clinic
Second role
Operations & Customer Management, Redrew Clothing
Research field
Enumerative combinatorics — self-avoiding paths on grid graphs
Publications
OEIS A236753, A288032, A288518
Sectors
Primary healthcare, sustainable fashion retail, computational mathematics

Elsewhere