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 A169806 Nonpalindromic numbers k such that k = R(k) + P(k) where R(k) is reversal(k) and P(k) is the product of the digits of k. 0
 354253, 385863, 398573, 534235, 653936, 676356, 682566, 695276, 853638, 35369253, 35639453, 45469254, 45636454, 45839454, 53369235, 53639435, 54469245, 54636445, 54839445, 55769255, 56814665, 56941765, 59236195 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Number of terms below 10^8 is 29. Obviously each palindromic number k that has at least one zero digit also has the property that k = R(k) + P(k), since R(k)=k and P(k)=0. All other terms below 10^8 are 59871495, 65814656, 65941756, 95236159, 95871459 and 99429579. 354253 and 1655425561 are the first two prime terms of the sequence. LINKS Table of n, a(n) for n=1..23. EXAMPLE 354253 = 352453 + 3*5*4*2*5*3 = reversal(354253) + 3*5*4*2*5*3, so 354253 is a term. MATHEMATICA r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[ If[n > r[n] && n == r[n] + Apply[Times, IntegerDigits[n]], Print[n]], {n, 59500000}] CROSSREFS Cf. A004086, A007954, A178271. Sequence in context: A186217 A237411 A235980 * A203876 A233752 A238382 Adjacent sequences: A169803 A169804 A169805 * A169807 A169808 A169809 KEYWORD base,nonn AUTHOR Farideh Firoozbakht, May 23 2010 STATUS approved

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Last modified June 18 23:32 EDT 2024. Contains 373488 sequences. (Running on oeis4.)