The On-Line Encyclopedia of Integer Sequences (OEIS)

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A125472

Number of base 15 circular n-digit numbers with adjacent digits differing by 9 or less.
(history; published version)

#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 Thu Nov 18 00:30:12 EST 2010

STATUS

proposed

approved

#6 by Charles R Greathouse IV at Thu Nov 18 00:30:10 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

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

NAME

Number of base 15 circular n-digit numbers with adjacent digits differing by 9 or less.

DATA

1, 15, 195, 2355, 30815, 406085, 5368137, 71010283, 939514247, 12431027733, 164481297235, 2176344002529, 28796451350825, 381022400987113, 5041526746028345, 66707344009697885, 882643292356416807

OFFSET

0,2

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

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>9)+($[(i+1)mod N]`-$[i]`>9))

KEYWORD

nonn

AUTHOR

Ron Hardin (rhh(AT)cadence.com), Dec 28 2006

STATUS

approved