A319737 The lexicographically earliest increasing sequence such that n divides the sum of the first a(n) + 1 terms.
1, 2, 3, 6, 7, 8, 9, 14, 16, 18, 19, 20, 21, 22, 26, 27, 33, 34, 44, 55, 59, 63, 67, 68, 69, 70, 74, 89, 90, 91, 92, 93, 94, 109, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 150, 151, 152, 153, 169
Offset: 1
Keywords
Examples
a(1) = 1. a(2) = 2 because 2 is the smallest number > a(1) and n = 1 divides the sum of the first a(1) + 1 = 2 terms for all any term > 1. a(3) = 3 because 3 is the smallest number > a(2) such that n = 2 divides the sum of the first a(2) + 1 = 3 terms. a(4) = 6 because 6 is the smallest number > a(3) such that n = 3 divides the sum of the first a(3) + 1 = 4 terms. a(5) = 7 and a(6) = 8; a(4) < a(5) < a(6). a(7) = 9 because 9 is the smallest number > a(6) such that n = 4 divides the sum of the first a(4) + 1 = 7 terms. a(8) = 14 because 14 is the smallest number > a(7) such that n = 5 divides the sum of the first a(5) + 1 = 8 terms.
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