

A319824


Numbers that are not the sum of distinct luckyindexed lucky numbers.


1



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
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OFFSET

1,1


COMMENTS

Analogous to A213356 with primes instead of lucky numbers.
Conjecture: this sequence is finite with the last term being a(98) = 373.


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..98


MATHEMATICA

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 JeanFrançois Alcover at A000959 *)


CROSSREFS

Cf. A000959, A032639, A213356, A318487.
Sequence in context: A245606 A269864 A103681 * A039265 A073599 A039204
Adjacent sequences: A319821 A319822 A319823 * A319825 A319826 A319827


KEYWORD

nonn


AUTHOR

Amiram Eldar, Sep 28 2018


STATUS

approved



