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A126492 Number of base 24 n-digit numbers with adjacent digits differing by three or less. 3
1, 24, 156, 1036, 6932, 46592, 314068, 2121404, 14350760, 97189500, 658783572, 4468484736, 30325445672, 205889162656, 1398299571460, 9498979946468, 64541625486340, 438601729211104, 2980942930020288, 20261817487044168 (list; graph; refs; listen; history; text; internal format)
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

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: -(36*x^11 -104*x^10 -272*x^9 +557*x^8 +624*x^7 -998*x^6 -524*x^5 +660*x^4 +134*x^3 -127*x^2 +10*x +1) / (12*x^11 -40*x^10 -80*x^9 +223*x^8 +156*x^7 -410*x^6 -88*x^5 +276*x^4 -10*x^3 -53*x^2 +14*x -1). - Alois P. Heinz, Sep 25 2015

MAPLE

b:= proc(n, i) option remember; `if`(n=0, 1, add(

     `if`(i=0 or abs(i-j)<4, b(n-1, j), 0), j=1..24))

    end:

a:= n-> b(n, 0):

seq(a(n), n=0..20);  # Alois P. Heinz, Sep 25 2015

PROG

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

CROSSREFS

Cf. Base 24 differing by two or less A126411, one or less A126378.

Sequence in context: A008663 A277984 A125334 * A222002 A240268 A231341

Adjacent sequences:  A126489 A126490 A126491 * A126493 A126494 A126495

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 27 2006

STATUS

approved

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Last modified January 27 23:41 EST 2022. Contains 350654 sequences. (Running on oeis4.)