The title compound, Ca4Au10In3 (e/a = 1.59), was synthesized by conventional high-temperature solid-state reactions and structurally analyzed by single-crystal X-ray diffraction: space group Cmca, a = 13.729(4) angstrom, b = 10.050(3) angstrom, c = 10.160(3) angstrom, Z= 4. The structure, isotypic with that of Zr7Ni10, features a novel three-dimensional [Au10In3] polyanionic framework built from sinusoidal Au layers that are interconnected by significant Au-Au and Au-In interactions. A prominent electronic feature is the presence of a pseudogap and empty bonding states above the Fermi level according to LMTO calculations, reminiscent of the tunable electronic properties discovered for Mg-2-Zn-11-type phases. The natures of the chemical and electronic redistributions from Zr7Ni10 to Ca4Au10In3 are considered. The Au backbone appears to be particularly important.