A121340
List of triples {1^(2^k), 2^(2^k), 3^(2^k)} for k>0.
Original entry on oeis.org
1, 2, 3, 1, 4, 9, 1, 16, 81, 1, 256, 6561, 1, 65536, 43046721, 1, 4294967296, 1853020188851841, 1, 18446744073709551616, 3433683820292512484657849089281, 1, 340282366920938463463374607431768211456, 11790184577738583171520872861412518665678211592275841109096961
Offset: 1
Marius Solend (mariussolend(AT)hotmail.com), Aug 29 2006
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NestList[{#[[ -3]]^2, #[[ -2]]^2, #[[ -1]]^2} &, {1, 2, 3}, 7] // Flatten (* Robert G. Wilson v, Sep 02 2006 *)
Flatten[Table[{1,2,3}^2^k,{k,0,8}]] (* Harvey P. Dale, May 24 2012 *)
A152582
Numbers of the form 9^(2^n) + 2.
Original entry on oeis.org
11, 83, 6563, 43046723, 1853020188851843, 3433683820292512484657849089283, 11790184577738583171520872861412518665678211592275841109096963
Offset: 1
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g(a,n) = if(a%2,b=2,b=1);for(x=0,n,y=a^(2^x)+b;print1(y","))
A162599
Sum of digits (bits) in base two representation of 3^(2^n).
Original entry on oeis.org
2, 2, 3, 6, 11, 26, 56, 97, 204, 415, 769, 1606, 3268, 6460, 12889, 25915, 52046, 104099, 207000, 416542, 831430, 1662247, 3324374, 6646337, 13292865, 26593542, 53182276, 106364450, 212732814, 425465107, 850887793, 1701801109
Offset: 0
3^(2^2) = 81 = 64 + 16 + 1, so a(2) = 3.
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a := proc (n) local b2: b2 := convert(3^(2^n), base, 2): add(b2[j], j = 1 .. nops(b2)) end proc: seq(a(n), n = 0 .. 20); # Emeric Deutsch, Jul 21 2009
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Table[Total[IntegerDigits[3^2^n,2]],{n,0,25}] (* The program generates the first 26 terms of the seequence. *) (* Harvey P. Dale, Jun 16 2024 *)
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a(n) = hammingweight(3^(2^n)); \\ Michel Marcus, Mar 03 2019
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