cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A074997 Numbers which are sandwiched between two numbers having the same unordered canonical form.

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%I A074997 #13 Jan 02 2020 04:15:13
%S A074997 4,6,12,18,19,30,34,42,51,55,56,60,72,86,92,94,102,108,138,142,144,
%T A074997 150,160,180,184,186,192,198,202,204,214,216,218,220,228,236,240,243,
%U A074997 248,249,266,270,282,300,302,304,307,312,320,322,328,340,341,348,349,392
%N A074997 Numbers which are sandwiched between two numbers having the same unordered canonical form.
%C A074997 The average of twin primes is a member.
%H A074997 Amiram Eldar, <a href="/A074997/b074997.txt">Table of n, a(n) for n = 1..10000</a>
%e A074997 19 is sandwiched between 18 and 20 which are of the form p^2*q where p and q are primes.
%p A074997 k := 0: for j from 2 to 5000 do a := ifactors(j-1): b := ifactors(j+1): if sort([seq(a[2][i][2],i= 1..nops(a[2]))])= sort([seq(b[2][i][2],i= 1..nops(b[2]))]) then k := k+1: c[k] := j: fi: od: seq(c[i],i= 1..k);
%t A074997 f[n_] := Flatten[Table[{ # [[2]]}] & /@ FactorInteger[n]]; Drop[ Select[ Range[415], Sort[f[ # - 1]] == Sort[f[ # + 1]] & ], 1]
%o A074997 (PARI) isok(n) = vecsort(factor(n-1)[,2]) == vecsort(factor(n+1)[,2]); \\ _Michel Marcus_, Jul 28 2015
%Y A074997 Cf. A074998, A061715, A074460.
%K A074997 nonn
%O A074997 1,1
%A A074997 _Amarnath Murthy_, Aug 21 2002
%E A074997 More terms from _Sascha Kurz_ and _Robert G. Wilson v_, Aug 22 2002
%E A074997 Offset set to 1 by _Michel Marcus_, Jul 28 2015