A030623 Powers of 2 grouped in pairs of 2 digits (version 2).
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
Examples
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.
Programs
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Maple
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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Mathematica
FromDigits/@Partition[Flatten[IntegerDigits[2^Range[0, 63]]], 2] (* Alonso del Arte, Mar 28 2020 *)
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Scala
(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
Extensions
More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 03 2005
Comments