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 A126526 Number of base 31 n-digit numbers with adjacent digits differing by four or less. 1

%I #7 Mar 31 2012 12:35:06

%S 1,31,259,2211,19019,164343,1424235,12368115,107567215,936593437,

%T 8162112673,71178552195,621048996119,5421039243545,47334756754423,

%U 413416811445643,3611458265770503,31553302705135081,275714829055325817

%N Number of base 31 n-digit numbers with adjacent digits differing by four or less.

%C [Empirical] a(base,n)=a(base-1,n)+9^(n-1) for base>=4n-3; a(base,n)=a(base-1,n)+9^(n-1)-2 when base=4n-4

%o (S/R) stvar \$[N]:(0..M-1) init \$[]:=0 asgn \$[]->{*} kill +[i in 0..N-2]((\$[i]`-\$[i+1]`>4)+(\$[i+1]`-\$[i]`>4))

%Y Cf. Base 31 differing by three or less A126499, two or less A126418, one or less A126385.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified December 3 18:35 EST 2023. Contains 367540 sequences. (Running on oeis4.)