cp's OEIS Frontend

Examples

			The initial terms (in the third column, N = novel term, D = non-novel term):
  .n.a(n).....t
  .1,..1,.N,
  .2,..1,.D,..1
  .3,..2,.N,
  .4,..2,.D,..2
  .5,..3,.N,
  .6,..2,.D,..3
  .7,..4,.N,
  .8,..3,.D,..4
  .9,..5,.N,
  10,..2,.D,..5
  11,..4,.D,..6
  12,..6,.N,
  13,..4,.D,..7
  14,..7,.N,
  15,..2,.D,..8
  16,..4,.D,..9
  17,..6,.D,.10
  18,..8,.N,
  19,..4,.D,.11
  20,..7,.D,.12
  21,.11,.N,
  22,..2,.D,.13
...
If n=8, for example, a(8) = 3 is a non-novel term, the 4th such, so a(9) = a(8) + d(a(4)) = 3 + d(2) = 5.
Comment from _Michael De Vlieger_, Apr 08 2023 (Start)
Can be read as an irregular triangle of increasing subsequences:
  1;
  1, 2;
  2, 3;
  2, 4;
  3, 5;
  2, 4,  6;
  4, 7;
  2, 4,  6, 8;
  4, 7, 11;
  2, 5,  7, 9;
  3, 6, 10;
  4, 8, 11, 13;
  2, 4,  6,  8, 10, 13, 15;
  4, 8, 12;
  6, 9, 13, 15, 17;
  2, 4,  7, 11, 15, 19;
  etc.
(End)
The rows end with the novel terms - see A361512, A361513 - and their lengths are given by A361514.