The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A125470 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A125470

Number of base 13 circular n-digit numbers with adjacent digits differing by 9 or less.
(history; published version)

#11 by N. J. A. Sloane at Tue Jul 18 07:58:49 EDT 2017

STATUS

proposed

approved

#10 by Colin Barker at Tue Jul 18 05:08:40 EDT 2017

STATUS

editing

proposed

#9 by Colin Barker at Tue Jul 18 05:08:03 EDT 2017

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+F(9) for base>=9.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n.

FORMULA

G.f.: (1-6*x^2-100*x^3+15*x^4+148*x^5-5*x^6-42*x^7) / ((1-2*x-x^2+x^3)*(1-11*x-15*x^2+8*x^3+7*x^4)) (conjectured). - Colin Barker, Jul 18 2017

STATUS

approved

editing

#8 by Russ Cox at Sat Mar 31 12:35:02 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net), _, Dec 28 2006

Discussion

Sat Mar 31

12:35

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

#7 by Charles R Greathouse IV at Wed Nov 17 00:18:00 EST 2010

STATUS

proposed

approved

#6 by Charles R Greathouse IV at Wed Nov 17 00:17:58 EST 2010

KEYWORD

nonn,base

STATUS

approved

proposed

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

KEYWORD

nonn,new

nonn

AUTHOR

Ron R. H. Hardin (rhhardin(AT)att.net), Dec 28 2006

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+F(9) for base>=9.int(n/2)+1, and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

KEYWORD

nonn,new

nonn

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

KEYWORD

nonn,new

nonn

AUTHOR

Ron Hardin (rhhrhhardin(AT)cadenceatt.comnet), Dec 28 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)+F(9) for base>=9.int(n/2)+1, and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

KEYWORD

nonn,new

nonn