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 A102218 2-Monica numbers. 3
 4, 8, 10, 12, 14, 15, 22, 26, 27, 35, 42, 44, 45, 54, 56, 58, 60, 62, 63, 64, 65, 68, 78, 84, 85, 88, 90, 92, 94, 96, 99, 102, 108, 111, 118, 119, 121, 122, 123, 126, 129, 133, 136, 138, 141, 143, 145, 152, 155, 158, 159, 160, 161, 164, 165, 166, 169, 174, 175 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Composite numbers k such that the difference between the sum of digits of k (A007953) and the sum of sums of digits of the prime factors of k (taken with multiplicity, A118503) is even. - Amiram Eldar, Apr 23 2021 REFERENCES József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, Chapter 4, p. 384. James J. Tattersall, Elementary Number Theory in Nine Chapters, 2nd ed., Cambridge University Press, 2005, p. 93. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Michael Smith, Cousins of Smith Numbers: Monica and Suzanne Sets, Fibonacci Quarterly, Vol. 34, No. 2 (1996), pp. 102-104. Eric Weisstein's World of Mathematics, Monica Set. MATHEMATICA s[n_] := Plus @@ IntegerDigits[n]; f[p_, e_] := e*s[p]; sp[n_] := Plus @@ f @@@ FactorInteger[n]; mon2Q[n_] := CompositeQ[n] && EvenQ[s[n] - sp[n]]; Select[Range[200], mon2Q] (* Amiram Eldar, Apr 23 2021 *) CROSSREFS Cf. A007953, A018252, A102216, A102219, A118503, A177927. Sequence in context: A310976 A155878 A029886 * A257586 A172458 A175226 Adjacent sequences:  A102215 A102216 A102217 * A102219 A102220 A102221 KEYWORD nonn,base AUTHOR Eric W. Weisstein, Dec 30 2004 STATUS approved

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Last modified May 28 07:06 EDT 2022. Contains 354112 sequences. (Running on oeis4.)