id:A122481 - OEIS Search Results

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a(n) = if n < 10 then n else a(digitsum(n)) + digitsum(n), where digitsum(n)=A007953(n), the sum of digits in decimal representation of n.

+0
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 4, 6, 8, 10, 12, 14, 16, 18, 12, 4, 6, 8, 10, 12, 14, 16, 18, 12, 15, 6, 8, 10, 12, 14, 16, 18, 12, 15, 18, 8, 10, 12, 14, 16, 18, 12, 15, 18, 21, 10, 12, 14, 16, 18, 12, 15, 18, 21, 24, 12, 14, 16, 18, 12, 15, 18, 21, 24, 27, 14, 16, 18, 12, 15, 18 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 0..10000`
	EXAMPLE	`a(49)=a(4+9)+(4+9)=a(13)+13=a(1+3)+(1+3)+13=a(4)+4+13=4+4+13=21.`
	MAPLE	`ds := proc(n) local t1, t2; t1 := n; t2 := 0; while t1 <> 0 do t2 := t2 + (t1 mod 10); t1 := floor(t1/10); od: t2; end;` `M:=10000; a:=array(0..M); for n from 0 to 9 do a[n]:=n; lprint(n, a[n]); od: for n from 10 to M do a[n]:=a[ds(n)]+ds(n); lprint(n, a[n]); od:`
	CROSSREFS	`Cf. A010888.` `Sequence in context: A049105 A125959 A043269 this_sequence A110805 A061499 A028898` `Adjacent sequences: A122478 A122479 A122480 this_sequence A122482 A122483 A122484`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 15 2006`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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