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A269004
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a(n) is the sum of the prime factors, with repetition, of the sum of all preceding terms, with initial terms a(1)=1 and a(2)=2.
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2
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1, 2, 3, 5, 11, 13, 12, 47, 49, 24, 167, 169, 503, 505, 1511, 1513, 912, 432, 5879, 5881, 600, 97, 204, 118, 512, 87, 148, 3886, 23291, 23293, 71, 896, 11812, 60, 41359, 2394, 11508, 5529, 8977, 200, 152681, 152683, 604, 16996, 635, 40, 257, 957, 79594, 517, 10155
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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a = {1, 2}; Do[AppendTo[a, Total@ Flatten@ Apply[Table[#1, {#2}] &, FactorInteger@ Total@ a, {1}]], {n, 3, 60}]; a (* Michael De Vlieger, Feb 19 2016 *)
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PROG
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(PARI) lista(nn) = {va = vector(nn); print1(va[1] = 1, ", "); print1(va[2] = 2, ", "); sp = vecsum(va); for (k=3, nn, f = factor(sp); va[k] = sum(j=1, #f~, f[j, 1]*f[j, 2]); print1(va[k], ", "); sp += va[k]; ); } \\ Michel Marcus, Feb 19 2016
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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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