A030622
Powers of 2 grouped in pairs of two digits (version 1).
Original entry on oeis.org
24, 81, 63, 26, 41, 28, 25, 65, 12, 10, 24, 20, 48, 40, 96, 81, 92, 16, 38, 43, 27, 68, 65, 53, 61, 31, 7, 22, 62, 14, 45, 24, 28, 81, 4, 85, 76, 20, 97, 15, 24, 19, 43, 4, 83, 88, 60, 81, 67, 77, 21, 63, 35, 54, 43, 26, 71, 8, 86, 41, 34, 21, 77, 28, 26, 84, 35, 45, 65
Offset: 1
Alexei Kozlowski (bros(AT)spf.minsk.by)
The first few powers of 2 corresponding to positive exponents are 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048. The digits are 2, 4, 8, 1, 6, 3, 2, 6, 4, 1, 2, 8, 2, 5, 6, 5, 1, 2, 1,0, 2, 4, 2, 0, 4, 8. Grouping them in pairs, we obtain 24, 81, 63, 26, 41, 28, 25, 65, 12, 10, 24, 20, 48.
More terms from Douglas Winston (douglas.winston(AT)srupc.com), Nov 06 2003
A030623
Powers of 2 grouped in pairs of 2 digits (version 2).
Original entry on oeis.org
12, 48, 16, 32, 64, 12, 82, 56, 51, 21, 2, 42, 4, 84, 9, 68, 19, 21, 63, 84, 32, 76, 86, 55, 36, 13, 10, 72, 26, 21, 44, 52, 42, 88, 10, 48, 57, 62, 9, 71, 52, 41, 94, 30, 48, 38, 86, 8, 16, 77, 72, 16, 33, 55, 44, 32, 67, 10, 88, 64, 13, 42, 17, 72, 82, 68, 43, 54, 56, 53, 68
Offset: 1
Alexei Kozlowski (bros(AT)spf.minsk.by)
The first few powers of 2 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. The digits are 1, 2, 4, 8, 1, 6, 3, 2, 6, 4, 1, 2, 8, 2, 5, 6, 5, 1, 2, 1,0, 2, 4, 2, 0, 4, 8, 4, 0, 9, 6. Grouping them in pairs, we obtain 12, 48, 16, 32, 64, 12, 82, 56, 51, 21, 02, 42, 04, 84, 09, 68, etc.
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sq:=[]: for n from 0 to 100 do s:=convert(2^n,base,10): l:=nops(s): sq:=[op(sq),seq(s[l-i],i=0..l-1)] od: seq(sq[2*i-1]*10+sq[2*i],i=1..100); # C. Ronaldo
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FromDigits/@Partition[Flatten[IntegerDigits[2^Range[0, 63]]], 2] (* Alonso del Arte, Mar 28 2020 *)
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(List.fill(63)(2: BigInt)).scanLeft(1: BigInt)( * ).map(.toString.toCharArray).flatten.sliding(2, 2).map(.toArray).toList.map(new String()).map(Integer.parseInt()) // Alonso del Arte, Mar 28 2020
More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 03 2005
A088344
Powers of 3 grouped in pairs of 2 digits.
Original entry on oeis.org
39, 27, 81, 24, 37, 29, 21, 87, 65, 61, 19, 68, 35, 90, 49, 17, 71, 47, 53, 14, 41, 15, 94, 32, 34, 78, 29, 69, 14, 34, 89, 7, 43, 4, 67, 21, 12, 91, 40, 16, 33, 87, 42, 4, 89, 11, 62, 26, 14, 67, 34, 86, 78, 44, 1, 10, 46, 3, 53, 20, 33, 13, 81, 5, 96, 9, 94, 14, 31
Offset: 1
Douglas Winston (douglas.winston(AT)srupc.com), Nov 07 2003
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