The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A126482 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A126482

Number of base 14 n-digit numbers with adjacent digits differing by three or less.
(history; published version)

#8 by N. J. A. Sloane at Tue Jul 18 08:01:55 EDT 2017

STATUS

proposed

approved

#7 by Colin Barker at Tue Jul 18 05:18:32 EDT 2017

STATUS

editing

proposed

#6 by Colin Barker at Tue Jul 18 05:18:13 EDT 2017

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3.

FORMULA

G.f.: (1+5*x-27*x^2-21*x^3+35*x^4+8*x^5-5*x^6-x^7) / (1-9*x+13*x^2+25*x^3-21*x^4-10*x^5+3*x^6+x^7) (conjectured). - Colin Barker, Jul 18 2017

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:35:06 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net), _, Dec 27 2006

Discussion

Sat Mar 31

12:35

OEIS Server: https://oeis.org/edit/global/875

#4 by N. J. A. Sloane at Sat Oct 02 03:00:00 EDT 2010

KEYWORD

nonn,base,new

AUTHOR

Ron R. H. Hardin (rhhardin(AT)att.net), Dec 27 2006

#3 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,newbase

AUTHOR

Ron Hardin (rhhrhhardin(AT)cadenceatt.comnet), Dec 27 2006

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

COMMENTS

[empiricalEmpirical] a(base,n)=a(base-1,n)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Fri Jan 12 03:00:00 EST 2007

NAME

Number of base 14 n-digit numbers with adjacent digits differing by three or less.

DATA

1, 14, 86, 546, 3502, 22582, 146000, 945166, 6122674, 39674426, 257126690, 1666543060, 10801947152, 70015705526, 453829551820, 2941656640950, 19067428223036, 123592671411170, 801112565036276, 5192714887319794

OFFSET

0,2

COMMENTS

[empirical] a(base,n)=a(base-1,n)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>3)+($[i+1]`-$[i]`>3))

CROSSREFS

Cf. Base 14 differing by two or less A126401, one or less A126368.

KEYWORD

nonn

AUTHOR

Ron Hardin (rhh(AT)cadence.com), Dec 27 2006

STATUS

approved