A275469 - OEIS

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

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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

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].

FORMULA

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

EXAMPLE

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

CROSSREFS

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

Sequence in context: A302685 A281721 A303319 * A178542 A066539 A095390

Adjacent sequences: A275466 A275467 A275468 * A275470 A275471 A275472

KEYWORD

nonn

AUTHOR

Timothy L. Tiffin, Jul 28 2016

STATUS

approved