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A126535 Number of base 14 n-digit numbers with adjacent digits differing by five or less. 0
1, 14, 124, 1144, 10616, 98600, 915904, 8508084, 79034176, 734172816, 6819958040, 63352697344, 588502780296, 5466784162856, 50782647228176, 471735701043648, 4382098684999456, 40706668676111984, 378136822974584768 (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..18.

FORMULA

G.f.: (1+4*x-12*x^2-14*x^3+20*x^4+6*x^5-6*x^6) / (1-10*x+4*x^2+26*x^3-16*x^4-10*x^5+6*x^6) (conjectured). - Colin Barker, Jul 18 2017

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 14 differing by four or less A126509, three or less A126482, two or less A126401, one or less A126368.

Sequence in context: A167602 A212234 A155637 * A222647 A041001 A025211

Adjacent sequences:  A126532 A126533 A126534 * A126536 A126537 A126538

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved

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Last modified February 24 13:13 EST 2021. Contains 341569 sequences. (Running on oeis4.)