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A126544 Number of base 23 n-digit numbers with adjacent digits differing by five or less. 0
1, 23, 223, 2233, 22593, 229845, 2344951, 23959555, 244996403, 2506196601, 25642541441, 262394013219, 2685165779179, 27478998106253, 281214182348803, 2877908167110333, 29452244633456589, 301412164854186481 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5

LINKS

Table of n, a(n) for n=0..17.

FORMULA

G.f.: -(2*x^11 -7*x^10 -24*x^9 +89*x^8 +67*x^7 -302*x^6 -20*x^5 +327*x^4 -56*x^3 -80*x^2 +8*x +1) / (x^11 -5*x^10 -9*x^9 +62*x^8 +3*x^7 -202*x^6 +65*x^5 +207*x^4 -90*x^3 -42*x^2 +15*x -1). - Alois P. Heinz, Sep 25 2015

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))

CROSSREFS

Cf. Base 23 differing by four or less A126518, three or less A126491, two or less A126410, one or less A126377.

Sequence in context: A244766 A125386 A091628 * A272796 A285552 A206766

Adjacent sequences:  A126541 A126542 A126543 * A126545 A126546 A126547

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved

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Last modified August 15 00:08 EDT 2022. Contains 356122 sequences. (Running on oeis4.)