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A309737 Base conversion sequence: a(1) = 1; a(n) is the concatenation of all the previous terms, evaluated in base n-1, written in base n. 0
1, 1, 10, 213, 133130, 50044104412, 1456053604226211530303, 1355606752437672176235012441560305430335663 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This will only work for n <= 10. To get a sequence that is defined for all n, it will be necessary to replace a(n) by a list of its "digits". So the result will be a triangle: 1 / 1 / 1,0 / 2,1,3 / ..., in which row n is a list of the digits written in base n. This should be an additional sequence with a cross-reference to this one. - N. J. A. Sloane, Sep 21 2019

LINKS

Table of n, a(n) for n=1..8.

FORMULA

a(1) = 1; a(n) is the concatenation of all the previous terms, evaluated in base n-1, written in base n.

EXAMPLE

For a(3) the previous terms are {1,1}. Evaluating the concatenation of those terms in base n-1 = 2 gives 11_2 = 3; converting that to base n = 3 gives 10_3, so a(3) = 10.

n=4: 1110_3 = 39_10 = 213_4, so a(4) = 213.

CROSSREFS

Sequence in context: A332408 A245981 A245985 * A211912 A213788 A278125

Adjacent sequences:  A309734 A309735 A309736 * A309738 A309739 A309740

KEYWORD

nonn,base,more

AUTHOR

Moshe Levy, Aug 14 2019

STATUS

approved

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Last modified August 11 18:32 EDT 2020. Contains 336428 sequences. (Running on oeis4.)