login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

List of ordered pairs (x, y) from A279812.
1

%I #11 Feb 21 2018 03:31:49

%S 440,568,2368,2420,5240,5848,10040,11128,12464,12736,21488,21712,

%T 24570,29190,34592,36832,126040,152168,133856,133984,134190,142290,

%U 139230,175266,159500,177460,200970,248310,244530,279630,244736,246304,283328,306352,284620,337460

%N List of ordered pairs (x, y) from A279812.

%C The terms of the sequence A279812 are given in increasing order. The terms of this sequence are ordered pairs (a(2n-1), a(2n)) where a(2n-1) < a(2n+1) < a(2n+3) < ...

%e The pair (a(1), a(2)) = (440, 568) is in the sequence because the even proper divisors of 440 are 2, 4, 8, 10, 20, 22, 40, 44, 88, 110, 220 with sum = 568 and the proper divisors of 568 are 2, 4, 8, 142, 284 with sum = 440.

%t f[n_] := Total@ DeleteCases[Most@ Divisors@ n, d_ /; OddQ@ d]; DeleteCases[Union@ Table[If[# == 0, {0, 0}, Sort@ {n, # Boole[f@ # == n]}] &@ f@ n, {n, 2, 10^6}], w_ /; Or[First@ w == 0, MatchQ @@ w]] // Flatten (* _Michael De Vlieger_, Dec 23 2016 *)

%Y Cf. A279812.

%K nonn

%O 1,1

%A _Michel Lagneau_, Dec 23 2016