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A292258
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a(1) = 1; for n > 1, a(n) = prime(A101296(n)-1) * a(floor(n/2)).
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8
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1, 2, 2, 6, 4, 10, 4, 42, 18, 20, 8, 110, 20, 20, 20, 546, 84, 198, 36, 220, 100, 40, 16, 1870, 330, 100, 140, 220, 40, 380, 40, 12558, 2730, 420, 420, 5742, 396, 180, 180, 3740, 440, 1900, 200, 440, 440, 80, 32, 57970, 5610, 3630, 1650, 1100, 200, 2380, 700, 3740, 1100, 200, 80, 14060, 760, 200, 440, 514878
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OFFSET
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1,2
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LINKS
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FORMULA
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Other identities. For all n >= 1:
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MATHEMATICA
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With[{nn = 64}, Block[{s = Function[s, Table[Position[Keys@ s, k_ /; MemberQ[k, n]][[1, 1]], {n, nn}]]@ Map[#1 -> #2 & @@ # &, Transpose@ {Values@ #, Keys@ #}] &@ PositionIndex@ Table[Times @@ MapIndexed[Prime[First@ #2]^#1 &, Sort[FactorInteger[n][[All, -1]], Greater]] - Boole[n == 1], {n, nn}], a}, a[n_] := a[n] = If[n == 1, 1, Prime[s[[n]] - 1]*a[Floor[n/2]]]; Array[a, nn]]] (* Michael De Vlieger, Sep 22 2017 *)
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PROG
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(PARI)
up_to = 8191
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ This function from Charles R Greathouse IV, Aug 17 2011
v101296 = rgs_transform(vector(up_to, n, A046523(n)));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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