A275469 Difference between the larger and smaller terms of the n-th amicable pair (x,y) given in A259933.

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

Author

Timothy L. Tiffin, Jul 28 2016

Keywords

• nonn

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.

Examples

			a(1) = 284 - 220 = 64, a(2) = 1210 - 1184 = 26, and a(3) = 2924 - 2620 = 304.
		

Links

• Timothy L. Tiffin, Table of n, a(n) for n = 1..142
• VaxaSoftware, List of amicable numbers from 1 to 20,000,000 [142 pairs].

Crossrefs

Cf. A002025, A002046, A066539, A259180, A259933, A260086, A260087, A275316, A275470.

Formula

a(n) = A260087(n) - A260086(n).