

A165195


Rows of triangle A165194 tend to this sequence; generated from A000110.


3



1, 1, 2, 1, 2, 5, 2, 1, 2, 5, 15, 5, 2, 5, 2, 1, 2, 5, 15, 5, 15, 52, 15, 5, 2, 5, 15, 5, 2, 5, 2, 1
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..32.


FORMULA

The sequence can be generated from strings of 2^n terms starting (1, 1,... then the next string of 2^(n+1) terms is obtained by appending a "reverse and increment" substring to the previous substring.


EXAMPLE

Given terms in the Bell sequence, A000110; A165195 begins (1, 1, 2, 1,... then to obtain the first 2^3 terms, the first 2^2 terms = (1, 1, 2, 1,... then append to the latter the reversal of (1, 1, 2, 1) = (1, 2, 1, 1) but incremented with the next higher Bell number = (2, 5, 2, 1). The first 2^3 terms are thus (1, 1, 2, 1, 2, 5, 2, 1). Repeat with analogous operations to obtain 2^4 terms, and so on..


CROSSREFS

Cf. A000110, A165194, A165196.
Sequence in context: A295516 A068822 A090079 * A121487 A057031 A230219
Adjacent sequences: A165192 A165193 A165194 * A165196 A165197 A165198


KEYWORD

nonn


AUTHOR

Gary W. Adamson, Sep 06 2009


STATUS

approved



