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A055263
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Sum of digits of (n + a(n-1)).
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7
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0, 1, 3, 6, 1, 6, 3, 1, 9, 9, 10, 3, 6, 10, 6, 3, 10, 9, 9, 10, 3, 6, 10, 6, 3, 10, 9, 9, 10, 12, 6, 10, 6, 12, 10, 9, 9, 10, 12, 6, 10, 6, 12, 10, 9, 9, 10, 12, 6, 10, 6, 12, 10, 9, 9, 10, 12, 15, 10, 15, 12, 10, 9, 9, 10, 12, 15, 10, 15, 12, 10, 9, 9, 10, 12, 15, 10, 15, 12, 10, 9, 9, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| If n=0 or 8 mod 9, then a(n)=0 mod 9; if n=1, 4 or 7 mod 9, then a(n)=1 mod 9; if n=2 or 6 mod 9, then a(n)=3 mod 9; if n=3 or 5 mod 9, then a(n)=6 mod 9.
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FORMULA
| a(n) = A007953(A055262(n)) =A007953(n+a(n-1))
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EXAMPLE
| a(13)=10 because a(12)=6, 13+6=19 and 1+9=10
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MAPLE
| P:=proc(n) local a, i, k, w; a:=0; for i from 1 by 1 to n do w:=0; k:=i+a; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; a:=w; print(a); od; end: P(100); - Paolo P. Lava (paoloplava(AT)gmail.com), Jul 31 2007
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CROSSREFS
| Cf. A055262, A055264.
Sequence in context: A089078 A134804 A145389 * A004157 A091068 A065233
Adjacent sequences: A055260 A055261 A055262 * A055264 A055265 A055266
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KEYWORD
| base,easy,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), May 08 2000
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EXTENSIONS
| More terms from Paolo P. Lava (paoloplava(AT)gmail.com), Jul 31 2007
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