Every nonnegative integer equals the sum of one triangular, one pentagonal, and one heptagonal number.
Universal sums of three quadratic polynomials.Science China Mathematics, 63(3):501– 520, 3 2020
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Every Nonnegative Integer Is a Sum of a Triangular, a Pentagonal, and a Heptagonal Number
Every nonnegative integer equals the sum of one triangular, one pentagonal, and one heptagonal number.