A139238
First differences of Mersenne numbers A001348.
Original entry on oeis.org
4, 24, 96, 1920, 6144, 122880, 393216, 7864320, 528482304, 1610612736, 135291469824, 2061584302080, 6597069766656, 131941395333120, 8866461766385664, 567453553048682496, 1729382256910270464, 145268109580462718976, 2213609288845146193920
Offset: 1
a(2)=24 because A001348(2)=7 and A001348(2+1)=31 then 31-7 = 24.
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A139238:=n->2^ithprime(n+1)-2^ithprime(n): seq(A139238(n), n=1..20); # Wesley Ivan Hurt, Jul 02 2014
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Table[2^Prime[n + 1] - 2^Prime[n], {n, 20}] (* Wesley Ivan Hurt, Jul 02 2014 *)
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for(n=1, 20, d=2^prime(n+1)-2^prime(n); print1(d, ", ")) \\ Felix Fröhlich, Jun 30 2014
A139240
First differences of Mersenne numbers A001348, divided by 4.
Original entry on oeis.org
1, 6, 24, 480, 1536, 30720, 98304, 1966080, 132120576, 402653184, 33822867456, 515396075520, 1649267441664, 32985348833280, 2216615441596416, 141863388262170624, 432345564227567616, 36317027395115679744, 553402322211286548480, 1770887431076116955136, 148754544210393824231424
Offset: 1
A139242
Second differences of Mersenne numbers A001348, divided by 2.
Original entry on oeis.org
10, 36, 912, 2112, 58368, 135168, 3735552, 260308992, 541065216, 66840428544, 963146416128, 2267742732288, 62672162783232, 4367260185526272, 279293545641148416, 580964351930793984, 71769363661776224256, 1034170589632341737472, 2434970217729660813312
Offset: 1
A139241
Second differences of Mersenne numbers A001348.
Original entry on oeis.org
20, 72, 1824, 4224, 116736, 270336, 7471104, 520617984, 1082130432, 133680857088, 1926292832256, 4535485464576, 125344325566464, 8734520371052544, 558587091282296832, 1161928703861587968, 143538727323552448512, 2068341179264683474944, 4869940435459321626624
Offset: 1
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Differences[2^Prime[Range[25]]-1,2] (* Paolo Xausa, Oct 20 2023 *)
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a(n) = 2^prime(n+2)-2^(prime(n+1)+1)+2^prime(n); \\ Michel Marcus, Mar 13 2020
Showing 1-4 of 4 results.
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