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A101227 Number of solutions to equation n=x+largest digit of x, n>1. +0
1
1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 (list; graph; listen)
OFFSET

2,11

COMMENT

In A045844, a sequence is defined by a rule a(n+1) = a(n) + largest digit of a(n); a(0) = 1. As usually in such cases, direct transformation is unique, while reverse one is not. Here the number of possible "previous" terms is given for each n.

EXAMPLE

a(12)=2 because 12=6+6, and 12=11+1; a(101)=2 because 101=92+9, and 101=100+1; note offset=2.

CROSSREFS

Cf. A045844.

Sequence in context: A029832 A026611 A096972 this_sequence A021499 A084099 A010673

Adjacent sequences: A101224 A101225 A101226 this_sequence A101228 A101229 A101230

KEYWORD

base,easy,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jan 22 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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