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 A090341 Difference between the sums of the prime factors, including multiplicity, of n and those of n + 2. 3
 -3, -2, -2, -1, -2, -1, 1, -1, -5, 0, -2, -2, 5, 1, -9, 0, -2, -1, 9, -4, -13, 4, 13, -6, 1, 4, -20, 1, -2, 0, 17, -9, 2, 9, -25, -11, 21, 10, -25, -1, -2, -3, 32, -10, -36, 14, 33, -1, -6, -5, -33, 6, 37, -2, -6, -18, -37, 19, -2, -21, 48, 21, -5, -4, -49, -5, 41, 7, -45, 2, -2, -27, 60, 16, -5, 5, -61, 5, 67, -30, -71, 29, 61, -31, -10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..85. FORMULA a(n) = A001414(n) - A001414(n+2). - Wesley Ivan Hurt, Aug 29 2016 EXAMPLE a(24)=-6 because 24=2*2*2*3, 26=2*13 and (2+2+2+3)-(2+13)=-6. MATHEMATICA Join[{-3}, #[[1]]-#[[3]]&/@Partition[Table[Total[Flatten[Table[#[[1]], #[[2]]]& /@ FactorInteger[n]]], {n, 2, 90}], 3, 1]] (* Harvey P. Dale, Apr 06 2018 *) CROSSREFS Cf. A001414, A090340, A090342, A090343. Sequence in context: A214609 A152159 A341941 * A251092 A175632 A226481 Adjacent sequences: A090338 A090339 A090340 * A090342 A090343 A090344 KEYWORD sign AUTHOR Charles K. Layman (cklayman(AT)juno.com), Nov 25 2003 STATUS approved

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Last modified June 9 23:59 EDT 2023. Contains 363183 sequences. (Running on oeis4.)