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A055263 a(n) = Sum of digits of (n + a(n-1)). 8
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; text; internal format)
OFFSET

0,3

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.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A007953(A055262(n)) = A007953(n + a(n-1)).

EXAMPLE

a(13)=10 because a(12)=6, 13 + 6 = 19 and 1 + 9 = 10.

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, Jul 31 2007

MATHEMATICA

nxt[{n_, a_}]:={n+1, Total[IntegerDigits[n+a+1]]}; Transpose[NestList[nxt, {0, 0}, 90]][[2]] (* Harvey P. Dale, Aug 11 2016 *)

CROSSREFS

Cf. A055262, A055264.

Sequence in context: A089078 A134804 A145389 * A004157 A091068 A065233

Adjacent sequences:  A055260 A055261 A055262 * A055264 A055265 A055266

KEYWORD

base,easy,nonn

AUTHOR

Henry Bottomley, May 08 2000

EXTENSIONS

More terms from Paolo P. Lava, Jul 31 2007

STATUS

approved

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Last modified June 20 08:06 EDT 2019. Contains 324229 sequences. (Running on oeis4.)