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A113608 Apply the map k -> A040115(k) repeatedly to n until a single digit is reached. 1
1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
10,4
COMMENTS
Leading zeros at any intermediate result are discarded. The first terms, from n=10 to n=99, are identical to A040115. - _R. J. Mathar_, Aug 28 2007
LINKS
EXAMPLE
a(1396)=1 because A040115(1396)=263, A040115(263)=43, A040115(43)=1.
a(1237584965)=1 from 6-fold application of A040115: 1237584965->114234531 -> 3211122 -> 110010 -> 01011=1011 -> 110 -> 01 -> 1.
MAPLE
A040115 := proc(n) local digs, digsdiff, i; digsdiff := [] ; digs := convert(n, base, 10) ; for i from 2 to nops(digs) do digsdiff := [op(digsdiff), abs(op(i, digs)-op(i-1, digs))] ; od; add( op(i, digsdiff)*10^(i-1), i=1..nops(digsdiff)) ; end:
A113608 := proc(n) local a; a := A040115(n) ; while a>9 do a := A040115(a) ; od; RETURN(a) ; end: seq(A113608(n), n=10..110) ; # _R. J. Mathar_, Aug 28 2007
CROSSREFS
Cf. A040115.
Sequence in context: A040114 A064834 A040163 * A040115 A080465 A347689
KEYWORD
base,easy,nonn
AUTHOR
_Amarnath Murthy_, Nov 09 2005
EXTENSIONS
Edited and extended by _R. J. Mathar_, Aug 28 2007
Further edited by _N. J. A. Sloane_, Aug 19 2008
STATUS
approved

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Last modified February 24 10:43 EST 2024. Contains 370294 sequences. (Running on oeis4.)