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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
-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
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
KEYWORD
sign
AUTHOR
Neal Gersh Tolunsky, May 06 2024
STATUS
approved