A026373 a(n) = sum of the numbers between the two n's in A026370.

5, 13, 25, 61, 85, 144, 180, 262, 310, 362, 418, 539, 607, 751, 831, 915, 1003, 1186, 1286, 1492, 1604, 1720, 1840, 2085, 2217, 2485, 2629, 2920, 3076, 3390, 3558, 3730, 3906, 4259, 4447, 4823, 5023, 5227, 5435, 5850, 6070