The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A343255 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A343255

a(n) is obtained by replacing 2's by n's in the hereditary base-2 expansion of n.
(history; published version)

#8 by Susanna Cuyler at Mon Jun 07 14:54:52 EDT 2021

STATUS

proposed

approved

#7 by Rémy Sigrist at Mon Jun 07 14:24:44 EDT 2021

STATUS

editing

proposed

#6 by Rémy Sigrist at Sat Jun 05 01:26:56 EDT 2021

NAME

a(n) is obtained by replacing 2 with 's by n 's in the hereditary base-2 expansion of n.

COMMENTS

The next term, a(16), has 22212093154093428530 digits, and is too large to include.

EXAMPLE

For n = 5:

- 5 = 2^2^2^0 + 2^0,

- so a(5) = 5^5^5^0 + 5^0 = 3126.

CROSSREFS

Cf. A054382, A342707.

#5 by Rémy Sigrist at Fri Jun 04 17:17:49 EDT 2021

NAME

allocated for Rémy Sigrist

a(n) is obtained by replacing 2 with n in the hereditary base-2 expansion of n.

DATA

0, 1, 2, 4, 256, 3126, 46662, 823551, 134217728, 3486784402, 100000000010, 3138428376733, 115909305827328, 4240251492291543, 166680102383370254, 7006302246093750016

OFFSET

0,3

LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Goodstein's_theorem#Hereditary_base-n_notation">Hereditary base-n notation</a>

FORMULA

a(n) = A342707(n, n).

CROSSREFS

Cf. A342707.

KEYWORD

allocated

nonn

AUTHOR

Rémy Sigrist, Jun 04 2021

STATUS

approved

editing

#4 by Rémy Sigrist at Fri Jun 04 17:17:49 EDT 2021

NAME

allocated for Rémy Sigrist

KEYWORD

recycled

allocated

#3 by R. J. Mathar at Fri Jun 04 07:55:42 EDT 2021

STATUS

editing

approved

#2 by R. J. Mathar at Fri Jun 04 07:55:39 EDT 2021

NAME

allocated for Dario T. de Castro

KEYWORD

allocated

recycled

STATUS

approved

editing

#1 by Dario T. de Castro at Fri Apr 09 04:29:25 EDT 2021

NAME

allocated for Dario T. de Castro

KEYWORD

allocated

STATUS

approved