The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A255632 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A255632

Number of n-length words on {0,1,2,3,4} avoiding runs of zeros of length 1 (mod 3).
(history; published version)

#18 by Jon E. Schoenfield at Sat Dec 19 01:06:11 EST 2015

NAME

Number of words of n-length n words on {0,1,2,3,4} avoiding runs of zeros of length 1 (mod 3).

MATHEMATICA

RecurrenceTable[{a[0] == 1, a[1] == 4, a[2] == 17, a[n] == 4*a[n - 1] + 5*a[n - 3]}, a[n], {n, 0, 23}]

KEYWORD

nonn,easy,changed

STATUS

proposed

approved

#17 by Jon E. Schoenfield at Fri Dec 18 18:28:53 EST 2015

STATUS

editing

proposed

Discussion

Fri Dec 18

19:29

Alois P. Heinz: Please do not change all 1600 sequences using n-length. It is also used in papers, one example see here: https://www.deepdyve.com/lp/institute-of-electrical-and-electronics-engineers/computing-a-k-sparse-n-length-discrete-fourier-transform-using-at-most-FncVAsxH4j

#16 by Jon E. Schoenfield at Fri Dec 18 18:28:50 EST 2015

NAME

Number of n-words of length words n on {0,1,2,3,4} avoiding runs of zeros of length 1 (mod 3).

MATHEMATICA

RecurrenceTable[{a[0] == 1, a[1] == 4, a[2] == 17, a[n] == 4*a[n - 1] + 5*a[n - 3]}, a[n], {n, 0, 23}]

STATUS

approved

editing

#15 by R. J. Mathar at Sat Nov 07 12:42:46 EST 2015

STATUS

editing

approved

#14 by R. J. Mathar at Sat Nov 07 12:42:41 EST 2015

FORMULA

G.f.: ( -1-x^2 ) / ( -1+4*x+5*x^3 ). - R. J. Mathar, Nov 07 2015

STATUS

approved

editing

#13 by Ray Chandler at Tue Jul 14 11:17:29 EDT 2015

STATUS

editing

approved

#12 by Ray Chandler at Tue Jul 14 11:17:25 EDT 2015

LINKS

<a href="/index/Rec#order_0203">Index entries for linear recurrences with constant coefficients</a>, signature (4,0,5).

STATUS

approved

editing

#11 by Charles R Greathouse IV at Sat Jun 13 00:55:26 EDT 2015

LINKS

<a href="/index/Rec#order_02">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (4,0,5).

Discussion

Sat Jun 13

00:55

OEIS Server: https://oeis.org/edit/global/2439

#10 by Alois P. Heinz at Sat Feb 28 15:58:39 EST 2015

STATUS

editing

approved

#9 by Alois P. Heinz at Sat Feb 28 15:58:32 EST 2015

CROSSREFS

Cf. A254598, A254602, A255115, A255117, A254601, A254663.

STATUS

proposed

editing