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A077408 Trajectory of 103 under the Reverse and Add! operation carried out in base 3, written in base 10. 1
103, 230, 436, 776, 2424, 3856, 7400, 20856, 30928, 60920, 220248, 242704, 432896, 857152, 1460408, 2754688, 5134016, 16206744, 24437488, 44623424, 138104472, 201737128, 401511824, 1438324704, 1601682040, 2820726320, 5622321088 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

103 = A077405(0) is conjectured (cf. A066450) to be the smallest number such that the Reverse and Add! algorithm in base 3 does not lead to a palindrome. Its trajectory does not exhibit any recognizable regularity, so that the method by which the base-2 trajectories of 22 (cf. A061561), 77 (cf. A075253), 442 (cf. A075268) etc. as well as the base-4 trajectories of 318 (cf. A075153), 266718 (cf. A075466), 270798 (cf. A075467) etc. can be proved to be palindrome-free (cf. Links), is not applicable here.

LINKS

Table of n, a(n) for n=0..26.

Index entries for sequences related to Reverse and Add!

Klaus Brockhaus, On the 'Reverse and Add!' algorithm in base 2

EXAMPLE

103 (decimal) = 10211 -> 10211 + 11201 = 22112 = 230 (decimal).

PROG

(ARIBAS) m := 103; stop := 28; c := 0; while c < stop do write(m:group(0), ", "); k := m; rev := 0; while k > 0 do rev := 3*rev + (k mod 3); k := k div 3; end; inc(c); m := m+rev; end;

CROSSREFS

Cf. A058042, A077405, A066450, A061561, A075253, A075268, A075153, A075466, A075467.

Sequence in context: A134551 A140006 A142911 * A134214 A200732 A033204

Adjacent sequences:  A077405 A077406 A077407 * A077409 A077410 A077411

KEYWORD

base,nonn

AUTHOR

Klaus Brockhaus, Nov 05 2002

STATUS

approved

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Last modified December 8 19:21 EST 2021. Contains 349596 sequences. (Running on oeis4.)