A368240 -id:A368240

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

Search: a368240 -id:a368240

Displaying 1-1 of 1 result found.

page 1

A368239

Irregular table of nonnegative integers T(n, k), n >= 0, k = 1..A080100(n), read by rows; the 1's in the binary expansion of n exactly match the 1's in the balanced ternary expansions of the terms in the n-th row.

+10
3

0, 1, 2, 3, 4, 5, 6, 8, 9, 7, 10, 11, 12, 13, 14, 15, 17, 18, 23, 24, 26, 27, 16, 19, 25, 28, 20, 21, 29, 30, 22, 31, 32, 33, 35, 36, 34, 37, 38, 39, 40, 41, 42, 44, 45, 50, 51, 53, 54, 68, 69, 71, 72, 77, 78, 80, 81, 43, 46, 52, 55, 70, 73, 79, 82, 47, 48, 56, 57, 74, 75, 83, 84

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

OFFSET

0,3

COMMENTS

As a flat sequence, this is a permutation of the nonnegative integers with inverse A368240.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..9841 (rows for n = 0..2^9-1 flattened)

Index entries for sequences that are permutations of the natural numbers

FORMULA

T(n, 1) = A147991(n) for any n > 0.

T(n, A080100(n)) = A005836(n + 1).

A343228(T(n, k)) = n.

EXAMPLE

Table T(n, k) begins:

2, 3;

5, 6, 8, 9;

7, 10;

11, 12;

13;

14, 15, 17, 18, 23, 24, 26, 27;

16, 19, 25, 28;

20, 21, 29, 30;

22, 31;

32, 33, 35, 36;

34, 37;

38, 39;

40;

...

PROG

(PARI) row(n) = { my (r = [0], b = binary(n)); for (k = 1, #b, r = [3*v+b[k]|v<-r]; if (b[k]==0, r = concat(r, [v-1|v<-r]); ); ); Set(r); }

CROSSREFS

See A368225 for a similar sequence.

Cf. A005836, A080100, A147991, A343228, A368240 (inverse).

KEYWORD

nonn,tabf,base

AUTHOR

Rémy Sigrist, Dec 18 2023

STATUS

approved

page 1

Search completed in 0.004 seconds