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Search: id:A111115
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| 2, 4, 6, 18, 48, 66, 150, 204, 318, 348, 450, 486, 546, 696, 1050
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OFFSET
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1,1
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COMMENT
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The sequence is unbounded and all terms from the third onward are 0 modulo 6.
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FORMULA
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a(1)=2, a(n)=A111104(j_n) where j_n is the first index such that A111104(j_n)>A111104(k) for all k<j_n.
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MAPLE
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M:=[0, 2]: isElement := proc(n) global M; local b, j, k; b:=true; for j from 1 to nops(M)-1 do for k from j+1 to nops(M) do if M[j] = n mod M[k] then b:=false; break; fi od od; return b end: for z to 1 do for n from 3 while M[ -1]-M[ -2]<1000 do if isElement(n) then M:=[op(M), n] fi od od; M; SDM:=[]: sdmax:=0: for z to 1 do for k from 1 to nops(M)-1 do sd:=M[k+1]-M[k]; if sd>sdmax then sdmax:=sd; SDM:=[op(SDM), [k, M[k+1], sd]] fi od od; SDM; map(proc(z) SDM[z, 3] end, [$1..nops(SDM)]);
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CROSSREFS
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Cf. A051484, A111104.
Sequence in context: A098853 A085146 A066894 this_sequence A143085 A005227 A108439
Adjacent sequences: A111112 A111113 A111114 this_sequence A111116 A111117 A111118
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KEYWORD
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nonn
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AUTHOR
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Walter A. Kehowski (wkehowski(AT)cox.net), Oct 15 2005
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