[seqfan] A similar sequence (runs of even/odd integers)

[Eric Angelini]

Hello Seqfans,

as http://oeis.org/A093506 is in the database, one might consider
adding the similar sequence, starting with the smallest even term :

S =
2,4,1,3,5,7,6,9,11,13,8,10,12,14,16,15,17,19,21,23,25,27,18,20,22,24,26,28,...

Runs of alternate parity:

(2,4),(1,3,5,7),(6),(9,11,13),(8,10,12,14,16),(15,17,19,21,23,25,27),(18,20,22,24,26,28),...

Size of the runs:

  2,      4,     1,     3,           5,                 7,                    6,

... which is the sequence S itself. (And a permutation of N.)

Best,
É.