A274116 (1+e)-sigma amicable numbers.

220, 284, 366, 378, 2620, 2924, 3864, 4584, 5020, 5564, 16104, 16536, 16632, 16728, 26448, 28752, 29760, 30912, 43524, 53692, 63020, 67344, 69552, 69615, 76084, 87633, 100485, 122265, 124155, 139815, 142290, 142310, 168730, 179118, 196248, 196724, 198990, 202444

Offset

1,1

Comments

The first time a pair ordered by its first element is not adjacent is x = 16104, y = 16632 which correspond to a(11) and a(13), respectively.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..500

Example

(1+e)-sigma(366) = 378 and (1+e)-sigma(378) = 366.

Maple

with(numtheory): T:=proc(n) local a, d, p, e, s, sp; a:=1;
for d in ifactors(n)[2] do p:=op(1, d); e:= op(2, d); sp:=1;
for s in divisors(e) do sp:=sp+p^s; od: a:=a*sp; od: a; end:
P:=proc(q) local n, x, y; for n from 1 to q do x:=T(n)-n; y:=T(x)-x;
if n=y and x<>y then print(n); fi; od; end: P(10^10);

Crossrefs

Cf. A049603, A051378, A274118.

Sequence in context: A371806 A217160 A203777 * A121507 A255215 A063990

Adjacent sequences: A274113 A274114 A274115 * A274117 A274118 A274119

Keyword

nonn,easy

Author

Paolo P. Lava, Jun 10 2016

Status

approved