A163332 -id:A163332 - cp's OEIS frontend

A163480 Row 0 of A163334 (column 0 of A163336).

0, 1, 2, 15, 16, 17, 18, 19, 20, 141, 142, 143, 144, 145, 146, 159, 160, 161, 162, 163, 164, 177, 178, 179, 180, 181, 182, 1275, 1276, 1277, 1278, 1279, 1280, 1293, 1294, 1295, 1296, 1297, 1298, 1311, 1312, 1313, 1314, 1315, 1316, 1437, 1438, 1439

Offset: 0

Antti Karttunen, Jul 29 2009

nonn

Cf. A163481 (Y axis), A037314 (Z-order X axis).

Coordinates: A163528, A163529.

a(n) = my(v=digits(n,3),s=Mod(0,2)); for(i=1,#v, if(s,v[i]+=6); s+=v[i]); fromdigits(v,9); \\ Kevin Ryde, Sep 29 2020

a(n) = A163332(A037314(n)). - Kevin Ryde, Sep 29 2020

A163481 Row 0 of A163336 (column 0 of A163334).

Original entry on oeis.org

0, 5, 6, 47, 48, 53, 54, 59, 60, 425, 426, 431, 432, 437, 438, 479, 480, 485, 486, 491, 492, 533, 534, 539, 540, 545, 546, 3827, 3828, 3833, 3834, 3839, 3840, 3881, 3882, 3887, 3888, 3893, 3894, 3935, 3936, 3941, 3942, 3947, 3948, 4313, 4314, 4319

Offset: 0

Antti Karttunen, Jul 29 2009

nonn

Cf. A163480 (X axis), A208665 (Z-order Y axis).

a(n) = my(v=digits(n,3),s=Mod(0,2)); for(i=1,#v, s+=v[i]; v[i]=3*v[i]+if(s,2)); fromdigits(v,9); \\ Kevin Ryde, Oct 06 2020

From Kevin Ryde, Oct 06 2020: (Start)
a(n) = A163332(A208665(n)), including at n=0 by reckoning A208665(0)=0.
a(n) = 3*A163480(n) + (2 if n odd).
(End)

A163343 Central diagonal of A163334 and A163336.

Original entry on oeis.org

0, 4, 8, 44, 40, 36, 72, 76, 80, 404, 400, 396, 360, 364, 368, 332, 328, 324, 648, 652, 656, 692, 688, 684, 720, 724, 728, 3644, 3640, 3636, 3600, 3604, 3608, 3572, 3568, 3564, 3240, 3244, 3248, 3284, 3280, 3276, 3312, 3316, 3320, 2996, 2992, 2988

Offset: 0

Antti Karttunen, Jul 29 2009

nonn

It is easy to see by induction that these terms are always divisible by 4.

Cf. A163344 (quarter), A128173, A163332, A163334, A338086.

Peano curve axes: A163480, A163481.

a(n) = my(v=digits(n,3),s=Mod(0,2)); for(i=1,#v, if(s,v[i]=2-v[i]); s+=v[i]); fromdigits(v,9)<<2; \\ Kevin Ryde, Nov 06 2020

a(n) = 4*A163344(n).

a(n) = A163332(A338086(n)) = A338086(A128173(n)). - Kevin Ryde, Nov 06 2020

A334792 Let L_0 = (0, 1, 2, ...); for k = 1, 2, ..., L_k is obtained by splitting L_{k-1} into runs of k! terms and reversing even-indexed runs; {a(n)} is the limit of L_k as k tends to infinity.

Original entry on oeis.org

0, 1, 3, 2, 4, 5, 10, 11, 9, 8, 6, 7, 12, 13, 15, 14, 16, 17, 22, 23, 21, 20, 18, 19, 43, 42, 44, 45, 47, 46, 41, 40, 38, 39, 37, 36, 31, 30, 32, 33, 35, 34, 29, 28, 26, 27, 25, 24, 48, 49, 51, 50, 52, 53, 58, 59, 57, 56, 54, 55, 60, 61, 63, 62, 64, 65, 70, 71

Offset: 0

Rémy Sigrist, May 11 2020

nonn

A003188 can be obtained in the same manner by considering runs of 2^k terms.
A163332 can be obtained in the same manner by considering runs of 3^k terms.
This sequence is a permutation of the nonnegative integers.

			L_0 = (0, 1, 2, 3, 4, 5, ...)
L_1 = (0, 1, 2, 3, 4, 5, ...)
L_2 = (0, 1, 3, 2, 4, 5, ...)
As 5 < k! for k > 2, we have:
- a(0) = 0,
- a(1) = 1,
- a(2) = 3,
- a(3) = 2,
- a(4) = 4,
- a(5) = 5.

Rémy Sigrist, Table of n, a(n) for n = 0..5039 (n = 0..7!-1)
Index entries for sequences that are permutations of the natural numbers

Cf. A003188, A163332.

PARI
```
a(n) = { for (k=1, oo, if (n
				
```

cp's OEIS Frontend

A163480 Row 0 of A163334 (column 0 of A163336).

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A163481 Row 0 of A163336 (column 0 of A163334).

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A163343 Central diagonal of A163334 and A163336.

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A334792 Let L_0 = (0, 1, 2, ...); for k = 1, 2, ..., L_k is obtained by splitting L_{k-1} into runs of k! terms and reversing even-indexed runs; {a(n)} is the limit of L_k as k tends to infinity.

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