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Search: id:A126478
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| A126478 |
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Number of base 10 n-digit numbers with adjacent digits differing by three or less. |
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+0
3
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| 1, 10, 58, 350, 2130, 12990, 79258, 483646, 2951370, 18010366, 109906170, 670689902, 4092809194, 24975905246, 152412637946, 930080892110, 5675713495690, 34635399953406, 211358612597658, 1289792038765742
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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[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
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PROGRAM
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(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>3)+($[i+1]`-$[i]`>3))
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CROSSREFS
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Cf. Base 10 differing by two or less A126397, one or less A126364.
Sequence in context: A055583 A125320 A126730 this_sequence A044148 A044529 A129330
Adjacent sequences: A126475 A126476 A126477 this_sequence A126479 A126480 A126481
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KEYWORD
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nonn,base
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net), Dec 27 2006
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