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 A290948 Numbers not in any sequence defined by a recurrence b(n) = 3*b(n-1) + b(n-2) having initial values b(0), b(1) in {0 ... 9}. 2
 100, 110, 112, 115, 118, 120, 121, 122, 124, 125, 127, 128, 130, 131, 133, 134, 135, 137, 138, 140, 141, 143, 144, 145, 147, 148, 150, 151, 153, 154, 155, 157, 158, 160, 161, 163, 164, 166, 167, 168, 170, 171, 173, 174, 176, 177, 178, 180, 181, 183, 184, 186, 187, 188, 190 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 99 is not in this sequence because it is in the sequence with the recurrence a(n) = 3*a(n-1) + a(n-2) starting with 3 and 0: 3, 0, 3, 9, 30, 99, .... One may check that 100 is the smallest number not in any recurrent sequence of the form a(n+2) = 3a(n+1) + a(n) with a(0) and a(1) in {0, ..., 9}. Therefore a(1) = 100. PROG (PARI) list(lim)=if(lim<100, return([0..lim\1])); my(v=List([0..99])); for(t=1, 9, my(x=10*t, y=33*t); while(y<=lim, listput(v, y); [x, y]=[y, x+3*y])); for(m=1, 9, for(n=1, 9, my(x=m+3*n, y=3*x+n); while(y<=lim, listput(v, y); [x, y]=[y, x+3*y]))); Set(v) \\ Charles R Greathouse IV, Aug 14 2017 [This computes the complement.] CROSSREFS Cf. A003688, A277605, A291179. Sequence in context: A165406 A135603 A044866 * A033828 A162530 A204590 Adjacent sequences:  A290945 A290946 A290947 * A290949 A290950 A290951 KEYWORD nonn AUTHOR Bobby Jacobs, Aug 14 2017 EXTENSIONS Entry revised by M. F. Hasler and N. J. A. Sloane, Nov 24 2018 Definition corrected by N. J. A. Sloane, Jun 16 2021 (changing "a()" to "b()"). This is a list, so it has offset 1. - N. J. A. Sloane, Jun 16 2021 STATUS approved

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Last modified September 27 10:28 EDT 2021. Contains 347689 sequences. (Running on oeis4.)