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A138376
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a(n+1) = abs[ a(n) + Sum_of_digits_of(n+1)], with a(0)=0.
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0
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0, 1, 3, 0, 4, 1, 7, 0, 8, 1, 2, 0, 3, 1, 6, 0, 7, 1, 10, 0, 2, 1, 5, 0, 6, 1, 9, 0, 10, 1, 4, 0, 5, 1, 8, 0, 9, 1, 12, 0, 4, 1, 7, 0, 8, 1, 11, 0, 12, 1, 6, 0, 7, 1, 10, 0, 11, 1, 14, 0, 6, 1, 9, 0, 10, 1, 13, 0, 14, 1, 8, 0, 9, 1, 12, 0, 13, 1, 16, 0, 8, 1, 11, 0, 12, 1, 15, 0, 16, 1, 10, 0, 11, 1, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(4*k)=0, with k>=1
a(4*k-2)=1, with k>=1
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FORMULA
| a(n+1) = abs[ a(n) + Sum_of_digits_of(n+1)], with a(0)=0.
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MAPLE
| P:=proc(n) local a, i, k, w; a:=0; print(a); for i from 1 by 1 to n do w:=0; k:=i; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; a:=abs(a+(-1)^i*w); print(a); od; end: P(100);
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CROSSREFS
| Cf. A037123.
Sequence in context: A129718 A127375 A195084 * A077140 A003815 A131486
Adjacent sequences: A138373 A138374 A138375 * A138377 A138378 A138379
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KEYWORD
| easy,nonn,base
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AUTHOR
| Paolo P. Lava & Giorgio Balzarotti (paoloplava(AT)gmail.com), May 08 2008
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