A242399 - OEIS

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A242399

Write n and 3n in ternary representation and add all trits modulo 3.

8

0, 4, 8, 12, 16, 11, 24, 19, 23, 36, 40, 44, 48, 52, 47, 33, 28, 32, 72, 76, 80, 57, 61, 56, 69, 64, 68, 108, 112, 116, 120, 124, 119, 132, 127, 131, 144, 148, 152, 156, 160, 155, 141, 136, 140, 99, 103, 107, 84, 88, 83, 96, 91, 95, 216, 220, 224, 228, 232

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

P. Mathonet, M. Rigo, M. Stipulanti and N. Zénaïdi, On digital sequences associated with Pascal's triangle, arXiv:2201.06636 [math.NT], 2022.

Eric Weisstein's World of Mathematics, Ternary.

Wikipedia, Ternary numeral system

Index entries for sequences related to carryless arithmetic

FORMULA

a(n) <= 4*n; a(m) = 4*m iff m is a term of A242407.

a(n) = A008586(n) - A242400(n).

EXAMPLE

n = 25, 3*n = 75:

. A007089(25) = 221

. A007089(75) = 2210

. add trits ----

. modulo 3 2101 = A007089(64), hence a(25) = 64.

PROG

(Haskell)

a242399 n = foldr (\t v -> 3 * v + t) 0 $

map (flip mod 3) $ zipWith (+) ([0] ++ ts) (ts ++ [0])

where ts = a030341_row n

CROSSREFS

Cf. A004488, A007089, A008586, A030341, A048724, A242400, A242407.

Row / column 4 of A325820.

Sequence in context: A311116 A311117 A330973 * A081747 A331061 A020647

Adjacent sequences: A242396 A242397 A242398 * A242400 A242401 A242402

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, May 13 2014

STATUS

approved