The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A005314

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A005314

For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2*a(n-1) - a(n-2) + a(n-3).
(history; published version)

#189 by R. J. Mathar at Thu Jun 27 07:42:06 EDT 2024

STATUS

editing

approved

#188 by R. J. Mathar at Thu Jun 27 07:41:34 EDT 2024

FORMULA

a(n) = n*3F2(1/3-n/3,2/3-n/3,1-n/3;-n,3/2;27/4). - R. J. Mathar, Jun 27 2024

STATUS

approved

editing

#187 by N. J. A. Sloane at Sat May 04 14:49:19 EDT 2024

STATUS

proposed

approved

#186 by Alois P. Heinz at Fri May 03 19:09:16 EDT 2024

STATUS

editing

proposed

Discussion

Sat May 04

06:34

Jerrold Grossman: Yes, sorry. Alois P. Heinz is correct; my original edit was off by 1.

#185 by Alois P. Heinz at Fri May 03 19:08:01 EDT 2024

COMMENTS

Also the number of binary words of length n -1 such that every two consecutive 0s are immediately followed by at least two consecutive 1s. a(4) = 5: 010, 011, 101, 110, 111. - Jerrold Grossman, May 03 2024

#184 by Alois P. Heinz at Fri May 03 19:05:01 EDT 2024

STATUS

proposed

editing

#183 by Jerrold Grossman at Fri May 03 16:46:42 EDT 2024

STATUS

editing

proposed

Discussion

Fri May 03

19:05

Alois P. Heinz: a(4)=5 ... this counts the binary words of length 3 ... : 010, 011, 101, 110, 111.

#182 by Jerrold Grossman at Fri May 03 16:46:14 EDT 2024

COMMENTS

Also counts the number of binary words of length n such that every two consecutive 0s are immediately followed by at least two consecutive 1s. - Jerrold Grossman, May 03 2024

STATUS

proposed

editing

#181 by Michel Marcus at Fri May 03 10:01:35 EDT 2024

STATUS

editing

proposed

Discussion

Fri May 03

15:14

N. J. A. Sloane: Your comment says "Also counts the number of binary words of length n such that..."  It should rather say "Also the number of binary words of length n such that... ". Please correct this!

#180 by Michel Marcus at Fri May 03 10:01:21 EDT 2024

COMMENTS

Also counts the number of binary words of length n such that every two consecutive 0s are immediately followed by at least two consecutive 1s._ - _Jerrold Grossman_, May 03 2024

STATUS

proposed

editing

Discussion

Fri May 03

10:01

Michel Marcus: rather like this