A372598 a(1)=-2; thereafter a(n) is (the number of terms thus far that appear with a different frequency from that of a(n-1)) minus (the number of terms that appear with the same frequency).

-2, -1, -2, -1, -4, 3, 2, 1, 0, -1, 4, -1, 4, 5, 2, 3, 0, -3, 10, 9, 8, 7, 6, 5, 0, 19, 8, 3, 16, 11, 10, 7, 4, 15, 16, 7, 12, 19, 10, 9, 12, 9, 6, 11, 8, 3, 30, 37, 36, 35, 34, 33, 32, 31, 30, 19, 14, 33, 22, 35, 20, 37, 18, 39, 38, 37, 18, 23, 40, 39, 22, 19

Offset

1,1

Links

Neal Gersh Tolunsky, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program.

Neal Gersh Tolunsky, Graph of first 200000 terms.

Example

Let t'(n) be the number of terms that appear with a different frequency from that of a(n-1) and t(n) be the number of remaining terms.
  The resulting a(n) = t'(n) - t(n) are then:
   n  t'(n)  t(n) a(n)
  --  ----  ----  ----
   1     *     *    -2
   2     0     1    -1
   3     0     2    -2
   4     1     2    -1
   5     0     4    -4
   6     4     1     3
   7     4     2     2
   8     4     3     1
   9     4     4     0
  10     4     5    -1

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A372596, A350768, A363764.

Sequence in context: A184342 A030767 A352933 * A276976 A135545 A123317

Adjacent sequences: A372595 A372596 A372597 * A372599 A372600 A372601

Keyword

sign

Author

Neal Gersh Tolunsky, May 06 2024

Status

approved