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A126475 Number of base 7 n-digit numbers with adjacent digits differing by three or less. 3
1, 7, 37, 203, 1111, 6083, 33305, 182349, 998383, 5466269, 29928491, 163862147, 897165287, 4912089625, 26894291201, 147249532159, 806209189861, 4414093873755, 24167703582839, 132321131623579, 724474371929041 (list; graph; refs; listen; history; 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

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 7 differing by two or less A126394, one or less A126361.

Sequence in context: A002807 A124610 A002683 * A077239 A046235 A144496

Adjacent sequences:  A126472 A126473 A126474 * A126476 A126477 A126478

KEYWORD

nonn,base

AUTHOR

R. H. Hardin (rhhardin(AT)att.net), Dec 27 2006

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.