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A067484
Powers of 6 with initial digit 6.
12
6, 60466176, 609359740010496, 6140942214464815497216, 61886548790943213277031694336, 623673825204293256669089197883129856, 6285195213566005335561053533150026217291776, 63340286662973277706162286946811886609896461828096
OFFSET
1,1
COMMENTS
The geometric progression formula a(n)=10077696*a(n-1) does NOT hold if n=20, 40, 59, 79, 98, etc. - R. J. Mathar, Jun 24 2009
LINKS
Tanya Khovanova, Non Recursions
MAPLE
A067484 := proc(n) local p6, p, a ; if n = 1 then 6; else p6 := procname(n-1) ; ifactors(p6)[2] ; p := op(2, op(1, %)) ; for a from p+1 do p6 := 6^a ; convert(%, base, 10) ; if op(-1, %) = 6 then RETURN(p6) ; fi; od: fi; end: # R. J. Mathar, Jun 24 2009
MATHEMATICA
Select[6^Range[100], First[IntegerDigits[#]]==6&] (* Harvey P. Dale, Aug 14 2018 *)
PROG
(GAP) k:=6;; Filtered(List([0..80], n->k^n), i->ListOfDigits(i)[1]=k); # Muniru A Asiru, Oct 18 2018
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Amarnath Murthy, Feb 09 2002
EXTENSIONS
More terms from Benoit Cloitre, Feb 22 2002
a(8) from Harvey P. Dale, Aug 14 2018
Offset changed to 1 by Muniru A Asiru, Oct 19 2018
STATUS
approved