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Amiram Eldar, <a href="/A319824/b319824.txt">Table of n, a(n) for n = 1..98</a>
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Analogous to A213356 with primes instead of lucky numbers.
L = Table[2*i + 1, {i, 0, 2500}]; For[n = 2, n < Length[L], r = L[[n++]]; L = ReplacePart[L, Table[r*i -> Nothing, {i, 1, Length[L]/r}]]]; a = L[[Select[L, # <= Length[L] &]]]; nn=Length[a]; t=Rest[CoefficientList[Series[Product[(1+x^(a [[k]])), {k, nn}], {x, 0, nn*nn}], x]]; Flatten[Position[t, 0]] (* after Jean-François Alcover at A000959 *)
(* after Jean-François Alcover at A000959 *)
allocated for Amiram EldarNumbers that are not the sum of distinct lucky-indexed lucky numbers.
2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 30, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 54, 55, 58, 61, 62, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 79, 82, 83, 86, 89, 90, 93, 96, 97, 98, 99, 100, 103
1,1
Conjecture: this sequence is finite with the last term being a(98) = 373.
L = Table[2*i + 1, {i, 0, 2500}]; For[n = 2, n < Length[L], r = L[[n++]]; L = ReplacePart[L, Table[r*i -> Nothing, {i, 1, Length[L]/r}]]]; a = L[[Select[L, # <= Length[L] &]]]; nn=Length[a]; t=Rest[CoefficientList[Series[Product[(1+x^(a [[k]])), {k, nn}], {x, 0, nn*nn}], x]]; Flatten[Position[t, 0]]
(* after Jean-François Alcover at A000959 *)
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Amiram Eldar, Sep 28 2018
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