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A126478 Number of base 10 n-digit numbers with adjacent digits differing by three or less. 2
1, 10, 58, 350, 2130, 12990, 79258, 483646, 2951370, 18010366, 109906170, 670689902, 4092809194, 24975905246, 152412637946, 930080892110, 5675713495690, 34635399953406, 211358612597658, 1289792038765742 (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 10 differing by two or less A126397, one or less A126364.

Sequence in context: A055583 A125320 A126730 * A044148 A044529 A129330

Adjacent sequences:  A126475 A126476 A126477 * A126479 A126480 A126481

KEYWORD

nonn,base

AUTHOR

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

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.