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A134548 a(1)=1, a(n)=2+maximal digit of sum a(1)+...+a(n-1). +0
2
1, 3, 6, 3, 5, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 4, 6, 5, 7, 6, 10, 10, 10, 10, 10, 11, 11, 4, 6, 5, 7, 6, 10, 10, 10, 10, 10, 11, 11, 5, 7, 5, 9, 8, 7, 8, 11, 10, 11, 6, 9, 8, 6, 6, 8, 6, 7, 9, 8, 9, 10, 11, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 8, 10, 10, 10, 10, 10, 10, 10 (list; graph; listen)
OFFSET

1,2

COMMENT

For n>1, 3<=a(n)<=11 by definition. Also subsequences with repeating terms may be of arbitrary large length. What about any other patterns, periods, etc?

MATHEMATICA

a[1]=i=s=1; Do[i++; b=2+Max[IntegerDigits[s]]; a[i]=b; s+=b, {145}]; Table[a[k], {k, i}]

CROSSREFS

Adjacent sequences: A134545 A134546 A134547 this_sequence A134549 A134550 A134551

Sequence in context: A111461 A111762 A072971 this_sequence A124860 A038138 A010704

KEYWORD

base,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Oct 31 2007

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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