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A275469
Difference between the larger and smaller terms of the n-th amicable pair (x,y) given in A259933.
3
64, 26, 304, 544, 136, 112, 2310, 1120, 64, 4050, 13064, 18018, 8980, 23670, 784, 17550, 11512, 26420, 4480, 4576, 18064, 5720, 84544, 81304, 110852, 43184, 17888, 17150, 11680, 3510, 69296, 76144, 9328, 67072, 76592, 115592, 70592, 61110, 21712, 82768
OFFSET
1,1
COMMENTS
Each term represents the length of an interval (x,y), where x (A260086) and y (A260087) form a pair of amicable numbers (A259933). The midpoint and radius of each interval can be found in A275316 and A275470, respectively.
Each term will be even as long as there does not exist an amicable pair where x and y have opposite parity.
This sequence is a rearrangement of A066539 (which is based on A002025, A002046, and A259180). The first ten indices for which a(n) does not equal A066539(n) are n = 9, 10, 11, 15, 16, 33, 34, 35, 41, 42.
LINKS
FORMULA
a(n) = A260087(n) - A260086(n).
EXAMPLE
a(1) = 284 - 220 = 64, a(2) = 1210 - 1184 = 26, and a(3) = 2924 - 2620 = 304.
KEYWORD
nonn
AUTHOR
Timothy L. Tiffin, Jul 28 2016
STATUS
approved