A249097 Ordered union of the sets {h^6, h >=1} and {3*k^6, k >=1}.

1, 3, 64, 192, 729, 2187, 4096, 12288, 15625, 46656, 46875, 117649, 139968, 262144, 352947, 531441, 786432, 1000000, 1594323, 1771561, 2985984, 3000000, 4826809, 5314683, 7529536, 8957952, 11390625, 14480427, 16777216, 22588608, 24137569, 34012224, 34171875

Offset

1,2

Comments

Let S = {h^6, h >=1} and T = {3*k^6, k >=1}. Then S and T are disjoint. The position of n^6 in the ordered union of S and T is A249098(n), and the position of 3*n^6 is A249079(n).

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Example

{h^6, h >=1} = {1, 64, 729, 4096, 15625, 46656, 117649, ...};
{3*k^6, k >=1} = {3, 192, 2187, 12288, 46875, 139968, ...};
so the ordered union is {1, 3, 64, 192, 729, 2187, 4096, 12288, ...}

Mathematica

z = 120; s = Table[h^6, {h, 1, z}]; t = Table[3 k^6, {k, 1, z}]; v = Union[s, t]

Prog

(Magma) /* By ordered union */ &cat[[h^6, 3*h^6]: h in [1..20]]; // Vincenzo Librandi, Oct 23 2014

Crossrefs

Cf. A001014, A249098, A249099, A249123.

Sequence in context: A053857 A175985 A037108 * A092901 A099338 A289668

Adjacent sequences: A249094 A249095 A249096 * A249098 A249099 A249100

Keyword

nonn,easy

Author

Clark Kimberling, Oct 21 2014

Status

approved