A279950 List of ordered pairs (x, y) from A279812.

440, 568, 2368, 2420, 5240, 5848, 10040, 11128, 12464, 12736, 21488, 21712, 24570, 29190, 34592, 36832, 126040, 152168, 133856, 133984, 134190, 142290, 139230, 175266, 159500, 177460, 200970, 248310, 244530, 279630, 244736, 246304, 283328, 306352, 284620, 337460

Offset

1,1

Comments

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) < ...

Links

Table of n, a(n) for n=1..36.

Example

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.

Mathematica

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 *)

Crossrefs

Cf. A279812.

Sequence in context: A345555 A345809 A279812 * A072604 A158319 A250879

Adjacent sequences: A279947 A279948 A279949 * A279951 A279952 A279953

Keyword

nonn

Author

Michel Lagneau, Dec 23 2016

Status

approved