The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A001462

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A001462

Golomb's sequence: a(n) is the number of times n occurs, starting with a(1) = 1.
(history; published version)

#170 by Alois P. Heinz at Wed Oct 09 10:39:10 EDT 2024

STATUS

editing

approved

#169 by Alois P. Heinz at Wed Oct 09 10:39:01 EDT 2024

CROSSREFS

First differences are A088517.

STATUS

approved

editing

#168 by Alois P. Heinz at Wed Oct 09 10:37:50 EDT 2024

FORMULA

Conjecture: a(n) = a(n)^2 - 2*a(n)*a(n-1) + a(n-1)^2 + a(n-1) Boštjan Gec, Oct 09 2024

KEYWORD

easy,nonn,nice,core,changed

STATUS

editing

approved

#167 by Alois P. Heinz at Wed Oct 09 10:25:05 EDT 2024

STATUS

proposed

editing

Discussion

Wed Oct 09

10:32

Alois P. Heinz: this can be rewritten as (a(n)-a(n-1))*(a(n)-a(n-1)-1)=0 which tells you that a(n)-a(n-1) is either 0 or 1 ... this is well known ... see also A088517 ...

10:35

Alois P. Heinz: so this is not useful ... rejected ...

#166 by Boštjan Gec at Wed Oct 09 09:51:44 EDT 2024

STATUS

editing

proposed

Discussion

Wed Oct 09

10:25

Alois P. Heinz: this does not allow to comput a(n) ...

#165 by Boštjan Gec at Wed Oct 09 09:41:33 EDT 2024

FORMULA

Conjecture: a(n) = a(n)^2 - 2*a(n)*a(n-1) + a(n-1)^2 + a(n-1) Boštjan Gec, Oct 09 2024

STATUS

approved

editing

Discussion

Wed Oct 09

09:51

Boštjan Gec: Conjecture for implicit "quadratic" recursive equation, checked on all 10000 terms that are stored on OEIS for this sequence. 
Is it interesting or useful enough by itself for entry?

#164 by Michael De Vlieger at Thu Jan 11 10:59:56 EST 2024

STATUS

reviewed

approved

#163 by Michel Marcus at Thu Jan 11 10:59:32 EST 2024

STATUS

proposed

reviewed

#162 by Michael De Vlieger at Thu Jan 11 10:57:38 EST 2024

STATUS

editing

proposed

#161 by Michael De Vlieger at Thu Jan 11 10:57:36 EST 2024

LINKS

Joaquim Bruna, <a href="https://mat.uab.cat/web/matmat/wp-content/uploads/sites/23/2023/11/v2023n04.pdf">The golden ratio from a calculus point of view</a>, Universitat Autònoma de Barcelona, Materials matemàtics (2023) Vol. 2023, No. 4.

STATUS

approved

editing