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 A271502 Number with digits abc...z such that n = (a+b+c+...+z+a^b+b^c+c^d+...+y^z)+(a*b*c*...*z*a^b*b^c*c^d*...*y^z). 0
 0, 18, 81, 1323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Another variant of narcissistic numbers. No other terms below 10^5. a(5), if it exists, is > 3*10^10. - Lars Blomberg, Aug 08 2016 LINKS José Camacho Medina's Matematico Fresnillense, Otra Variante de Números Narcisistas (in Spanish). EXAMPLE 18 is a term because 18 = (1+8+1^8)+(1*8*1^8); 81 is a term because 81 = (8+1+8^1)+(8*1*8^1); 1323 is a term because 1323 = (1+3+2+3+1^3+3^2+2^3)+(1*3*2*3*1^3*3^2*2^3). MATHEMATICA CC = Table[( Sum[  Mod[(Floor[f/10^n]), 10]  , {n, 0, Floor[Log[10, f]] }]), {f, 1, 1323}]; DD = Table[( Sum[  (Mod[(Floor[f/10^n]), 10] ) ^(Mod[(Floor[f/     10^(n - 1)]), 10] ) , {n, 1, Floor[Log[10, f]] }]), {f, 1, 1323}]; EE = Table[( Product[  Mod[(Floor[f/10^n]), 10]  , {n, 0, Floor[Log[10, f]] }]), {f, 1, 555}]; FF = Table[( Product[  (Mod[(Floor[f/10^n]), 10] ) ^(Mod[(Floor[f/10^(n - 1)]), 10] ) , {n, 1, Floor[Log[10, f]] }]), {f, 1, 1323}]; SUMA = (CC+DD) + (EE*FF) RES = SUMA - Table[n, {n, 1, 1323}] Position[SS, 0] CROSSREFS Cf. A005188. Sequence in context: A338039 A085504 A214531 * A235641 A087636 A156218 Adjacent sequences:  A271499 A271500 A271501 * A271503 A271504 A271505 KEYWORD nonn,base,more AUTHOR José de Jesús Camacho Medina, Apr 08 2016 STATUS approved

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Last modified June 14 10:04 EDT 2021. Contains 345025 sequences. (Running on oeis4.)