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Also, numbers that can be expressed as the sum of k > 1 consecutive positive integers in only one way. - _Paolo P. Lava_ and _Giorgio Balzarotti_, Aug 21 2007. For example, 37 = 18 + 19; 48 = 15 + 16 + 17; 56 = 5 + 6 + 7 + 8 + 9 + 10 + 11. (Edited by M. F. Hasler, Aug 29 2020: "positive" was missing here. If nonnegative integers are allowed, none of the triangular numbers 3, 6, 10, ... would be in the corresponding sequence. If negative integers are also allowed, it would only have powers of 2 (A000079) which are the only positive integers not the sum of more than one consecutive positive integers, since any x > 0 is the sum of 1-x through x.)
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Also, numbers that can be expressed as the sum of k > 1 consecutive positive integers in only one way. - _Paolo P. Lava_ and _Giorgio Balzarotti_, Aug 21 2007. For example, 37 = 18 + 19; 48 = 15 + 16 + 17; 56 = 5 + 6 + 7 + 8 + 9 + 10 + 11. (Edited by M. F. Hasler, Aug 29 2020: "positive" was missing here. If nonnegative integers are allowed, none of the triangular numbers 3, 6, 10, ... would be in the corresponding sequence. If negative integers are also allowed, it would only have powers of 2 (A000079) which are the only positive integers not the sum of more than one consecutive positive integers, since any x > 0 is the sum of 1-x through x.)
nonn,easy,nice,changed
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Also, numbers that can be expressed as the sum of k > 1 consecutive positive integers in only one way. - _Paolo P. Lava_ and _Giorgio Balzarotti_, Aug 21 2007. For example, 37 = 18 + 19; 48 = 15 + 16 + 17; 56 = 5 + 6 + 7 + 8 + 9 + 10 + 11. (Edited by M. F. Hasler, Aug 29 2020: "positive" was missing here. If nonnegative integers are allowed, none of the triangular numbers 3, 6, 10, ... would be in the corresponding sequence. If negative integers are also allowed, it would only have powers of 2 (A000079) which are the only positive integers not the sum of more than one consecutive positive integers, since any x > 0 is the sum of 1-x through x.)
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A000265(a(n))) is a prime. - Juri-Stepan Gerasimov, Aug 16 2016
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A000265(a(n))) = is a prime. - Juri-Stepan Gerasimov, Aug 16 2016
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